Sarah is standing when she sees a boy running towards her with constant velocity 6.0 m/s. When they are 200 m apart, Sarah starts running to meet him. She runs with a constant acceleration, and by the time they meet, Sarah is running at 7.0 m/s. How long, from the time Sarah begins moving, does it take for them to meet?

Sarah is standing when she sees a boy running towards her with constant velocity 6.0 m/s. When they are 200 m apart, Sarah starts running to meet him. She runs with a constant acceleration, and by the time they meet, Sarah is running at 7.0 m/s. How long, from the time Sarah begins moving, does it take for them to meet?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 74P: You throw a ball straight up with an initial velocity of 15.0 m/s. It passes a tree branch on the...

See similar textbooks

Similar questions

A football player runs from his own goal line to the opposing teams goal line, returning to the fifty-yard line, all in 18.0 s. Calculate (a) his average speed, and (b) the magnitude of his average velocity. (Sec Section 2.2)
A very strong, but inept, shot putter puts the shot straight up vertically with an initial velocity of 11.0 m/s. How long a time does he have to get out of the way if the shot was released at a height of 2.20 m and he is 1.80 m tall?
A cyclist sprints at the end of a race to clinch a victory. She has an initial velocity of 11.5 m/s and accelerates at a rate of 0.500m/s2 for 7.00 s. (a) What is her final velocity? (b) The cyclist continues at this velocity to the finish. If she is 300 m from the finish line when she starts to accelerate, how much time did she save? (c) The second-place winner was 5.00 m ahead when the winner started to accelerate, but he was unable to accelerate, and traveled at 11.8 m/s until the finish line. What was the difference in finish time in seconds between the winner and runner-up? How far back was the runner-up when the winner crossed the finish line?
You throw a ball straight up with an initial velocity of 15.0 m/s. It passes a tree branch on the way up at a height of 7.0 m. How much additional time elapses before the ball passes the tree branch on the way back down?
Suppose a car merges into freeway traffic on a 200 - m - long ramp. If its initial velocity is Om / s and it accelerates at 2.00 m / s2, how long does it take the car to travel the 200 m up
Amir starts riding his bike up a 200-m-long slope at a speed of 18 km/h, decelerating at 0.20 m/s2 as hegoes up. At the same instant, Becky starts down from the top at a speed of 6.0 km/h, accelerating at0.40 m/s2 as she goes down. How far has Amir ridden when they pass?
A cop stopped by the side of the road seeing a sports car speed by. She pursues the motorcyclist at arate of 65m/s2until she reaches the sports car at a speed of 200 m/s. How long did it take the cop tocatch the motorcycle?
A sprinter accelerates from rest to a top speed with an acceleration whose magnitude is 3.78m/s2. After achieving top speed, he runs the remainder of the race without speeding up or slowing down. The total race is fifty meters long. If the total race is run in 8.38 s, how far does he run during the acceleration phase?
An experimental vehicle starts from rest (Vo=0) and accelerates at a rate given by a=(7m/s^2)t.What is it's velocity and displacement 2s.later?
A Wide Reciever is running along the sideline straight towards the goal at a constant speed. When he is 27 m away from the goal line he cathces the ball, but theire is a cornerback 12 m behind him moving with a connstant speed of vc=9.0 m/s what speed should the wide reveiver have to make sure he reaches the goal line just as the cornerback reaches him.
A car travels along a straight path begins to accelerate at a = (6t^2 – 4t) ft/s^2. At t = 0s, its velocity is 3 ft/s and its position is 4 ft. Determine its velocity at time t. What is its position when t = 4 s?
Chameleons catch insects with their tongues, which they can rapidly extend to great lengths. In a typical strike, the chameleon's tongue accelerates at a remarkable 290 m/s ^ 2 for 20 ms, then travels at constant speed for another 30 ms . During this total time of 50 ms, 1/20 of a second, how far does this tongue reach?