(4.2.95) At time t = 0, a car begins to accelerate at 3.0 m/s². After 4.0s of motion, the car stops accelerating and continues at constant velocity for an addition 4.0s. Then, the car brakes, decelerating at 6.0 m/s² until it comes to rest. (a) Calculate the position of the car at one second intervals, starting at t = 0, then t = 1s, 2s, and so forth, for the entire time the car is in motion. You do not need to show your calculations for this part. A table will suffice. (b) Calculate the velocity of the car at t= 0, t = 4.0s, t = 8.0s, and the stopping time. (c) On a single graph, plot the position, velocity, and acceleration of the car as a functions of time. The plot should include all data calculated in parts (a) and (b) of the problem. The rest you can sketch in.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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**Problem 4.2.95**

At time \( t = 0 \), a car begins to accelerate at \( 3.0 \, \text{m/s}^2 \). After 4.0 s of motion, the car stops accelerating and continues at constant velocity for an additional 4.0 s. Then, the car brakes, decelerating at \( 6.0 \, \text{m/s}^2 \) until it comes to rest.

(a) Calculate the position of the car at one second intervals, starting at \( t = 0 \), then \( t = 1\, \text{s}, 2\, \text{s} \), and so forth, for the entire time the car is in motion. You do not need to show your calculations for this part. A table will suffice.

(b) Calculate the velocity of the car at \( t = 0, t = 4.0 \, \text{s}, t = 8.0 \, \text{s} \), and the stopping time.

(c) On a single graph, plot the position, velocity, and acceleration of the car as functions of time. The plot should include all data calculated in parts (a) and (b) of the problem. The rest you can sketch in.
Transcribed Image Text:**Problem 4.2.95** At time \( t = 0 \), a car begins to accelerate at \( 3.0 \, \text{m/s}^2 \). After 4.0 s of motion, the car stops accelerating and continues at constant velocity for an additional 4.0 s. Then, the car brakes, decelerating at \( 6.0 \, \text{m/s}^2 \) until it comes to rest. (a) Calculate the position of the car at one second intervals, starting at \( t = 0 \), then \( t = 1\, \text{s}, 2\, \text{s} \), and so forth, for the entire time the car is in motion. You do not need to show your calculations for this part. A table will suffice. (b) Calculate the velocity of the car at \( t = 0, t = 4.0 \, \text{s}, t = 8.0 \, \text{s} \), and the stopping time. (c) On a single graph, plot the position, velocity, and acceleration of the car as functions of time. The plot should include all data calculated in parts (a) and (b) of the problem. The rest you can sketch in.
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