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An automobile traveling at 15 km/hr along a straight, level road accelerates to 65 km/hr in 6 s. What is the magnitude of the auto's average acceleration? (Express your final answer in m/s²).

An automobile traveling at 15 km/hr along a straight, level road accelerates to 65 km/hr in 6 s. What is the magnitude of the auto's average acceleration? (Express your final answer in m/s²).

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Solve the following problems 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. 1. An automobile traveling at 15 km/hr along a straight, level road accelerates to 65 km/hr in 6 s. What is the magnitude of the auto's average acceleration? (Express your final answer in m/s²). 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).
Transcribed Image Text:Solve the following problems 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. 1. An automobile traveling at 15 km/hr along a straight, level road accelerates to 65 km/hr in 6 s. What is the magnitude of the auto's average acceleration? (Express your final answer in m/s²). 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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