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1: Kinematics

P10003.m

The acceleration and braking capabilities of a new car are being tested. The driver accelerates from rest to 8.0 m.s-1 for 4.0 s. The driver then travels at a constant velocity for 2.0 s and then, by applying the brakes with an even pressure, stops the car in 3.0 s.

Draw a v / t graph for the motion of the car.

From the data given in the questions, what are all the interesting things that you can calculate?

 

View solution below only after you have completed the answering the question.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Solution

The slope of the tangent to the v/t graph equals the acceleration.

Area under v/t graph gives the displacement.

 

(1) interval 0 s to 4 .0 s

 

(2) interval 4.0 s to 6 .0 s

 

(3) interval 6.0 s to 9 .0 s

 

The total displacement of the car from its starting position is

 

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If you have any feedback, comments, suggestions or corrections please email:

Ian Cooper School of Physics University of Sydney

ian.cooper@sydney.edu.au