A driver getting onto a freeway onramp steps hard on the gas pedal to get her car up to speed. She starts at a speed of 12.5 m/s and accelerates at a rate of 2.10 m/s² for 8.50 seconds. a. What is her final speed? b. What distance does she travel while she is accelerating?

A driver getting onto a freeway onramp steps hard on the gas pedal to get her car up to speed. She starts at a speed of 12.5 m/s and accelerates at a rate of 2.10 m/s² for 8.50 seconds. a. What is her final speed? b. What distance does she travel while she is accelerating?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 49PQ: A driver uniformly accelerates his car such that a=6.851im/s2. a. Assuming he starts from rest, find...

See similar textbooks

Similar questions

Pete and Sue, two reckless teenage drivers, are racing eastward along a straight stretch of highway. Pete is traveling at 98.0 km/h, and Sue is chasing him at 125 km/h. a. What is Petes velocity with respect to Sue? b. What is Sues velocity with respect to Pete? c. If Sue is initially 325 m behind Pete, how long will it take her to catch up to him?
A trooper is moving due south along the freeway at a speed of 21 m/s. At time t = 0, a red car passes the trooper. The red car moves with constant velocity of 28 m/s southward. At the instant the troopers car is passed, the trooper begins to speed up at a constant rate of 2.0 m/s2. What is the maximum distance ahead of the trooper that is reached by the red car?
(a) A light-rail commuter train accelerates at a rate of 1.35m/s2 . How long does it take to reach its top speed of 80.0 km/h, starting from rest? (b) The same train ordinarily decelerates at a rate of 1.65m/s2 . How long does it take to came to a stop from its top speed? (c) In emergencies, the train can decelerate more rapidly, coming to rest from 80.0 km/h in 8.30 s. What is its emergency acceleration in meters per second sqquared?
Two sprinters start a race along a straight track at the same time and cross the finish line at the same time. a. Are their average velocities necessarily equal? Explain. b. Are their instantaneous velocities necessarily always equal? Explain. c. Are their final velocities necessarily equal? Explain.
An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150m/s2 as it goes through. The station in 210.0 m long. (a) How fast is it going when the nose leaves the station? (b) How long is the nose of the train in the station? (c) If the train is 130 m long, what is the velocity of the end of the train as it leaves? (d) When does the end of the train leave the station?
The speed limit on some interstate highways is roughly 100 km/h. (a) What is this in meters per second? (b) How many miles per hour is this?
An unwary football player collides with a padded goalpost while running at a velocity of 7.50 m/s and comes to a full stop after compressing the padding and his body 0.350 m. (a) What is his deceleration? (b) How long does the collision last?
There is a 25O-m-high cliff at Half Dome in Yosemite National Pad in California. Suppose a boulder breaks loose from the top of this cliff. (a) How fast will It be going when It strikes the ground? (b) Assuming a reaction time of 0.300 s, how long a time will a tourist at the bottom have to get out of the way after hearing the sound of the rock breaking loose (neglecting the height of the tourist, which would become negligible anyway if hit)? The speed of sound is 335.0 m/s on this day.
Standing at the base of one of the cliffs of Mt. Arapiles in Victoria, Australia, a hiker hears a rock break loose from a height of 105 m. He can't see the rock right away but then does, 1.50 s later. (a) How far above the hiker is the rock when he can see it? (b) How much time does he have to move before the rock hits his head?
Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start of a play, Matthews runs downfield at 45 with respect to the 50-yard line and covers 8.0 m in 1 s. He then fins straight down the field at 90 with respect to the 50-yard line for 12 m, with an elapsed time of 1.2 s. (a) What is Matthews’ final displacement from the start of the play? (b) What is his average velocity?
At the end of a race, a runner decelerates from a velocity of 9.00 m/s at a rate of 2.00 m/s2. (a) How far does she travel in the next 5.00 s? (b) What is her final velocity? (c) Evaluate the result. Does it make sense?
A ball starts from rest and accelerates at 0.500 m/s2 while moving down an inclined plane 9.00 m long. When it reaches the bottom, the ball rolls up another plane, where it comes to rest after moving 15.0 m on that plane. (a) What is the speed of the ball at the bottom of the first plane? (b) During what time interval does the ball roll down the first plane? (c) What is the acceleration along the second plane? (d) What is the balls speed 8.00 m along the second plane?