2. A sports car can accelerate from 0 to 60 mi/hr in 3.9 s. (1 mile=1609.34 m) a. What is the magnitude of the average acceleration of the car in m/s²? b. If the sports car can accelerate at a rate of 7.2 m/s², how long does the car take to accelerate from 0 to 60 mi/hr? (Express your final answer in seconds). 3. A rifle bullet with a muzzle speed of 330m/s is fired directly into a special dense material that stops the bullet in 25 cm. Assuming the bullet's magnitude to be constant, what is its acceleration? 4. The speed limit in a school zone is 40 km/hr. A driver traveling at this speed sees a child run onto the road 13 m ahead of his car. He applies the brakes, and the car decelerates at a uniform rate of 8 m/s². If the driver's reaction time is 0.25 s, will the car stop before hitting the car? Prove. 5. A bullet travelling horizontally at a speed of 350 m/s hits a board perpendicular to its surface, passes through and emerges on the other side at a speed of 210 m/s. If the board is 4 cm thick, how long does the bullet take to pass through it? 6. At a sports car rally, a car starting from rest accelerates uniformly at a rate of 9 m/s² over a straight-line distance of 100 m. The time to beat in this event is 4.5 s. Does the driver beat the time? If not, what must the minimum acceleration be? (Hint: Requires two solutions).
2. A sports car can accelerate from 0 to 60 mi/hr in 3.9 s. (1 mile=1609.34 m) a. What is the magnitude of the average acceleration of the car in m/s²? b. If the sports car can accelerate at a rate of 7.2 m/s², how long does the car take to accelerate from 0 to 60 mi/hr? (Express your final answer in seconds). 3. A rifle bullet with a muzzle speed of 330m/s is fired directly into a special dense material that stops the bullet in 25 cm. Assuming the bullet's magnitude to be constant, what is its acceleration? 4. The speed limit in a school zone is 40 km/hr. A driver traveling at this speed sees a child run onto the road 13 m ahead of his car. He applies the brakes, and the car decelerates at a uniform rate of 8 m/s². If the driver's reaction time is 0.25 s, will the car stop before hitting the car? Prove. 5. A bullet travelling horizontally at a speed of 350 m/s hits a board perpendicular to its surface, passes through and emerges on the other side at a speed of 210 m/s. If the board is 4 cm thick, how long does the bullet take to pass through it? 6. At a sports car rally, a car starting from rest accelerates uniformly at a rate of 9 m/s² over a straight-line distance of 100 m. The time to beat in this event is 4.5 s. Does the driver beat the time? If not, what must the minimum acceleration be? (Hint: Requires two solutions).
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Physics And Measurement
Section: Chapter Questions
Problem 1.29P
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Help me answer these by applying the equations for uniformly accelerated motion. (Show your solutions) Round off your answers to the nearest first decimal place.
Please observe consistency of units.
Transcribed Image Text:2. A sports car can accelerate from 0 to 60 mi/hr in 3.9 s. (1 mile=1609.34 m)
a. What is the magnitude of the average acceleration of the car in m/s²?
b.
If the sports car can accelerate at a rate of 7.2 m/s², how long does the car take
to accelerate from 0 to 60 mi/hr? (Express your final answer in seconds).
3. A rifle bullet with a muzzle speed of 330m/s is fired directly into a special dense
material that stops the bullet in 25 cm. Assuming the bullet's magnitude to be
constant, what is its acceleration?
4. The speed limit in a school zone is 40 km/hr. A driver traveling at this speed sees a
child run onto the road 13 m ahead of his car. He applies the brakes, and the car
decelerates at a uniform rate of 8 m/s². If the driver's reaction time is 0.25 s, will the
car stop before hitting the car? Prove.
5. A bullet travelling horizontally at a speed of 350 m/s hits a board perpendicular to its
surface, passes through and emerges on the other side at a speed of 210 m/s. If the
board is 4 cm thick, how long does the bullet take to pass through it?
6. At a sports car rally, a car starting from rest accelerates uniformly at a rate of 9 m/s²
over a straight-line distance of 100 m. The time to beat in this event is 4.5 s. Does the
driver beat the time? If not, what must the minimum acceleration be? (Hint: Requires
two solutions).
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