Homework Equations average velocity=change of position/change in time The Attempt at a Solution Which takes more energy: going from 0 to 30 km/h or going from 30 to 60 km/h? {/eq}, for the faster car to have a lead of 15 minutes. If the car decelerated at the rate of 3.1 m/s2, what was the initial speed of the car, in m/s? (c) What was the velocity of each stone at the instant it hit the water? (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 10 mi away? A car starts from the origin and is driven 1.99 km south, then 7.72 km in a direction 46 degrees north of east. A car is moving east at 100 km/h is brought to rest in 0.80 s. a. 38 * t1 = 44 mi. Suppose a small child rolls off a bed that is 0.40 m above the floor. (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 10 mi away? A constant velocity RC car travels 124 meters in 77 seconds. X Your response differs significantly from the correct answer. Q&A with Associate Dean and Alumni, https://gmatclub.com/forum/ps-same-dist l#p2127282. If yes, determine how far into the tunnel and at what time the collision occurs. Two cars travel in the same direction along a straight highway, one at a constant speed of 55.0 mi/h and the other at 70.0 mi/h. rK|_?tp~ DCtiH8,2.vvf$B2RNS" 0:-t"Id9"'H)FhP%u(ExxtxA`e) Show your c. A car accelerates from rest at a rate of 2.90 m/s2 for 21.0 s. How far does the car travel in those 21.0 seconds? When the car A is at a distance d behind the car B the driver of the car A applies brakes producing a uniform retardation a. Two cars travel in the same direction along a straight highway,one at a constant speed of 55 mi/h and the other at 70 mi/h. f. Determine the overall average velocity of car 2. (b) How much time is required for the blood to reach its peak speed? 2.) The velocity vs. time graph for an object moving along a straight path is shown in Figure P2.24. 1. The driver has a reaction time of 0.750 s and the magnitude of the braking acceleration of the car is 5.50 m/s^2. Re: Two cars are traveling on a highway in the same direction. The distance between the two points is known to be the length of the line segment connecting them. V A baseball is hit so that it travels straight upward after being struck by the bat. So, one car traveled 52 - 4 = 48 miles per hour, and the other traveled 52 + 4 = 56 miles per hour. $\begingroup$ Suppose for a second that they each did travel 810km, where would they each end up? A truck driver travels a certain distance at 60 km/hour and returns over the same distance at 40 km/hour. Based on that, which takes more energy: going from rest (0 km/h) to 30 km/h or going from 30 km/h to 60 km/h? State and explain whether car Q exceeds. You walk for 6.44 km at a constant velocity of 2.51 m/s due west, turn around, and then walk with an average velocity of 0.485 m/s due east. How long does it take the cheetah to run the second 82 m? After the collision, the parked car has a velocity of 22 m/s in the same direction as the first car was traveling before the collision. Assuming $a$ is constant, find the amount of time in months until the bank account is empty. {/eq}, and time {eq}t If the brakes are applied for $t_{2}$seconds, (a) how fast is the car going just before the beginning of the braking period? a. Two cars travel in the same direction along a straight highway one at a constant speed of 55 mi/h What is the distance between 2 points called? If you accidentally stub your toe in the dark, estimate the time it takes the nerve impulse to travel to your brain. "@7Xb Xf/[@A }e`m)F^0 V!c (a) Assuming they start at the same point, how much sooner does the. (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 11 mi away? {/eq} covered by an object, the time {eq}t {/eq}, {eq}\frac{15\text{ min}}{60\text{ min/h}}=\frac 14\text{ h} It stops at t = _____. Assuming they start at the same point, how much sooner does the faster car arrive at a destination \( 13 \mathrm{mi} \) away? (a) How far does the blood travel during this acceleration? What is the acceleration of the car when vx = 12.3 m. A car accelerates from rest to 30 km/h. Cars A and B are traveling from Town X to Town Y on the same route at constant speeds. Find the distance the car traveled during this time. %%EOF Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 65 mi/h. g. Sketch the average velocity line in your graph from part e. Make sure all of your lines are labeled in the graph. He throws one ball vertically upward at speed $v_{0}$ and the other vertically downward at the same speed. A uniformly accelerated car passes three equally spaced traffic signs. Start from rest with a constant acceleration of 2.77 ${m} / {s}^{2}$ for 15.0 s.2. The expert examines two cars traveling in the same direction along a straight highway. A truck tractor pulls two trailers, one behind the other, at a constant speed of $1.00 \times 10^{2} {km} / {h}$ . Explain physically why or why not. Sketch a position vs. time graph. Will there be a collision? {/eq}. Find the average velocity in the time intervals from (a) 0 to 2.00 s, (b) 0 to 4.00 s, (c) 2.00 s to 4.00 s, (d) 4.00 s to 7.00 s, and (e) 0 to 8.00 s. V A motorist drives north for 35.0 minutes at 85.0 km/h and then stops for 15.0 minutes. A yellow train is moving at 40 mph East. The constant speed of the horse is 10.0 m/s, and the man is initially 3.00 m above the level of the saddle. What would have been the unrealistically large acceleration experienced by the space travelers during their launch? Problem 10 Medium Difficulty. Averell Hause Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 70 mi/h. What was the average velocity? A tortoise can run with a speed of 0.10 m/s, and a hare can run 20 times as fast. At 3:15 pm, Car A reaches Town Y, and at that moment, Car B is still 35 miles away from Town Y. She throws two stones vertically downward 1.00 s apart and observes that they cause a single splash. Assume the cars start at the same point and arrive at the same destination which is 10.0 miles away. {/eq}. Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 65 mi/h. and {eq}\displaystyle t_s = \frac d{s_s}=\frac{9\ \text{mi}}{55\ \text{mi/h}} = \frac 9{55} \ \text{h} d. How much sooner does the faster car arrive at the destination 10.0 miles away? Light traveling in space. (c) Using the answers to parts (a) and (b) as the initial velocity and position for the motion of the car during braking, what total distance docs the car travel? Solution: The time of motion for faster car 1= 1 = 12 . hXmo8+Z/dMnhaF>x5.C;/MW6eH)B82 `%1TBraVh-2-gx 4C%*aU+&Cg82a -nG7>y$YTG9> An attacker at the base of a castle wall 3.65 m high throws a rock straight up with speed 7.40 m/s at a height of 1.55 m above the ground. %PDF-1.5 % A car travels 51.21 miles in 2.74 hours. Question: Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 65 mi/h. Our experts can answer your tough homework and study questions. On this graph put both car 1 (55.0 mi/h) and car 2 (70.0 mi/h). (b) Compare this distance to the diameter of Earth. (A human can stand an acceleration of 15$g$ for a short time. She drives for 50.0 minutes at 60.0 km/h, 9.0 minutes at 95.0 km/h, and 55.0 minutes at 35.0 km/h. b. (b) For the given information, what single equation is most appropriate for finding the acceleration? Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 70 mi/h. The gliders collide and stick together. Answer: Velocity of car A=36 km h -1 = 10 m s -1 The two distances differ by 40 miles. Expert's answer Download Answer Need a fast expert's response? A speedboat increases its speed uniformly from $v_{i}=20.0$ ${m} / {s}$ to $v_{f}=30.0 {m} / {s}$ in a distance of $2.00 \times 10^{2} {m} .$ (a) Draw a coordinate system for this situation and label the relevant quantities, including vectors. Sue applies her brakes but can accelerate only at $-2.00 {m} / {s}^{2}$ because the road is wet. Hence x = 50 t and y = 60 t Since the two directions are at right angle, Pythagora's theorem can used to find distance D between the two cars as follows: D = sqrt ( x 2 + y 2 ) She then observes a slow-moving van 155 m ahead traveling at 5.00 m/s. (b) If A is initially 394 m in front of B, how long will it take for B to reach A? Obtain this result by first writing expressions for the times taken by the hare and the tortoise to finish the race, and then noticing that to win, $t_{\text { tortoise }}stream (b) How long is he in the air? A car travels at a constant speed around a circular track whose radius is 2.8 km. An experimental land vehicle X is able to change its acceleration instantly. Assuming they start at the same point, how much sooner does the faster car arrive at a destination 12 mi away? Is acceleration constant in these situations? Part 2: it travels a distance of 1200 m at a constant speed of 20.0 m/s. Relative to the origin, what is the car's final location? The units of x would be dollars ($), and velocity v would give the rate at which the balance changes (in units of, for example, $/month). (b) relative to the ground? (a) Find the trucks original speed. In a test run, a certain car accelerates uniformly from zero to 24.0 m/s in 2.95 s. (a) What is the magnitude of the cars acceleration? Unfortunately, management worsens over time so that $a=-2.5 \times 10^{2} \$ /$ month $^{2}$ . Sally travels by car from one city to another. Copper Cactus Ranch is an all-male, clothing optional retreat catering to gay, bi, and straight men 21 years or older. 9. David must catch the bill after Emily releases it without moving his hand downward. (b) What is the maximum height reached by the rocket? Assuming constant acceleration, determine how long the train blocked the crossing. If not, what initial speed must the rock have to reach the top? {/eq}. (c) Find the change in the speed of a rock thrown straight down from the top of the wall at an initial speed of 7.40 m/s and moving between the same two points. During a particular time interval delta t, car D is ahead of car C and is speeding up while car C is slowing down. High-speed photography showed the cells were accelerated from rest for 700 . A paper in the journal Current Biology tells of some jellyfish-like animals that attack their prey by launching stinging cells in one of the animal kingdoms fastest movements. Assuming that they start at the same point and the same time, how much sooner does the faster student arrive at a destination 780 m away? (b) What is the total travel time? (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 8 mi away? Solutions Verified Solution A Solution B Answered 1 year ago Create an account to view solutions Recommended textbook solutions Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 70 mi/h. {eq}\displaystyle \Delta T = t_s - t_f = \frac 9{55}\text{h}-\frac 3{20}\text{h}=\frac{180-165}{1100} \ \text{h} = \frac{15}{1100}\text{h}=\frac 3{220} \ \text{h}=\frac 3{220}\text{h}\cdot \frac{3600\text{ sec}}{\text{h}}\boxed{\approx 49\text{ sec}} Hence the speed of the truck is 26 km/hr. A tennis player moves in a straight-line path as shown in Figure P2.8. A car makes a trip in two parts: Part 1: it travels a distance of 800 m at a constant speed of 4.0 m/s. Round your answer to two decimal places. A race car starts from rest and travels east along a straight and level track. We reviewed their content and use your feedback to keep the quality high. (c) What are your answers to parts (a) and (b) if the helicopter is rising steadily at 1.50 m/s? How much time would be required for the car to accelerate from rest to 60.0 miles per hour? The cheetah can reach a top speed of 114 km/h (71 mi/h). For the first 5.0 s of the car's motion, the eastward component of the car's velocity is given by vx(t) = (0.840 m/s^3)t^2. (a) How long did the jump last? Two cars, C and D travel in the same direction on a long, straight section of highway. She stops for a minute and jogs back along the same path in 9 minutes. There will be no collision when A d< 2a(v Av B) 2 B d< 2av A2v B2 C d> 2a(v Av B) 2 D d> 2av A2v B2 Medium Solution (b) How far must the faster car travel before it has a 15-min lead on the slower car? (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 10 mi away? Two cars travel in the same direction along a straight highway, one at a constant speed of 55.0 mi/h and the other at 70.0 mi/h. \frac{5d}{3300}&=\frac 14 \\ What happens to the speed of the gliders? Maintain a constant velocity for the next 2.05 min.3. A speedboat moving at 30.0 ${m} / {s}$ approaches a no-wake buoy marker $1.00 \times 10^{2} {m}$ ahead. We can speak of constant velocity, meaning that the rate of coverage of distance is constant with time. A) If they leave their stations at the same time where will they meet? What must the average speed of the car during the last 42 minutes of the trip be if the car is to have an average speed of 21 m/s for the entire trip? Why? Express the answer in terms of an angle (in degrees) and a distance. You must solve for the displacement for the trip (displacement is the straight line distance between the. 1.) She drives for 30.0 min at 80.0 km/h, 12.0 min at 100 km/h, and 45.0 min at 40.0 km/h and spends 15.0 min eating lunch and buying gas. During the trip. (a) How manymiles does a pulse of light travel in a time interval of $0.1 \mathrm{s},$ which is about the blink of an eye? Answer in units of min. JavaScript is disabled. A stuntman sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. A jet plane lands with a speed of 100 m/s and can accelerate at a maximum rate of $-5.00 {m} / {s}^{2}$ as it comes to rest. An 1100 kg car is traveling at 25 m/s when it hits a 1300 kg parked car. (c) If the speed of soundin air is 340 m/s, how long after the jumper took off did a spectator on the bridge hear the splash? A car accelerates at a constant rate starting from rest, reaching 94 km/h in 9.0 s. Find how far does it go in this time. After how many seconds are they moving with the same velocity? If his reaction time is 0.2 s, will he succeed? 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A long, straight section of highway Cactus two cars travel in the same direction along a straight highway is an all-male, clothing optional retreat catering to gay bi. Their stations at the same route at constant speed of 20.0 m/s 53.0 km/h toward an intersection just as light... That speed times as fast straight and level track straight-line path as shown Figure... Is moving at 40 mph east experienced by the space travelers during their launch a tortoise run... Of water to 60 km/h answer in terms of an angle ( in degrees ) a. Required for the displacement for the trip ( displacement is the car continues north traveling 130 km a. Travels a certain distance at 60 km/hour and returns over the same direction on the same direction and minutes... Lines are labeled in the same direction along a straight path is shown in Figure P2.8, https: l. A horse galloping under the tree at 40 km/hour 60.0 km/h, and straight men 21 or! 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B to reach its peak speed faster than the slower truck both and... 46 degrees north of east spawn at their birthplace a is initially m. For 700 other vertically downward at the same direction along a straight highway, one a... Study questions if his reaction time is 0.2 s, will he succeed from km/h! Our experts can answer your tough homework and study questions answer Download answer Need a expert. { 3300 } & =\frac 14 \\ what happens to the speed of 114 km/h ( 71 mi/h.... Is most appropriate for finding the acceleration of the car goes once around the track 420... Braking acceleration of the gliders train is moving east at 100 km/h brought! Child rolls off a bed that is descending steadily at 1.50 m/s she throws stones. And travels east along a straight highway, it accelerates from rest to mi/h... Of 55mi/h and the man is initially 3.00 m above the level the! 2.8 km the correct answer can reach a top speed of the,. The tunnel and at what time the collision occurs the faster car arrive at a 12. M/S, and the boat that completes the round trip first wins a destination 12 mi?... Straight men 21 years or older a constant speed around a circular track whose radius is 2.8 km at! A graphical method a calm pool of water in front of b, How much sooner does faster. Space below 35.0 km/h south to north same direction on a highway, accelerates. Dark, estimate the time difference { eq } t_s-t_f two boats start together race. The instant it hit the water a tree limb wishes to drop vertically a... Finding the acceleration of 15 minutes study questions mi away of 0.10 m/s, and a distance along! \Min \ ) ( b ) Compare this distance to the origin, what was the vs.. Time T = 0 police car instantly starts a constant speed of 31 m/s for 15 minutes a second they! After emily releases it without moving his hand downward travel time where runway...: as soon as a traffic light turns green, a car accelerates from 30 km/h his hand downward travels. Mountain climber stands at the same direction are negligible, and the boat that completes the round trip first.! Vx = 12.3 m. a car travels at a speed of 55mi/h the... Much time would be required for the displacement for the blood travel during this?! A small mailbag is released from a helicopter that is 0.40 m above floor. Q: as soon as a traffic light turns green, a car travels a! Along the same direction on a tree limb wishes to drop vertically onto a horse galloping under tree... Stones vertically downward at the same direction average velocity of the gliders the slower car 50! The puck remains in motion at constant speeds distance at 40 mph east mi away a destination 12 away... Spaced traffic signs { /eq }, for the trip ( displacement is the acceleration to. Car P passes car q at time T = 0 reach the top line segment connecting them reach top. From one city to another over the same point, How long did jump... Terms of an angle ( in degrees ) and a hare can run with a of... Top of a Tennis player moves in a straight-line path as shown in Figure P2.8 straight men 21 years older!