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One dimensional motion_Constant speed and acceleration

At the instant the traffic light turns green, a car that has been waiting at an intersection starts ahead with a constant acceleration of 3.20m/s^2. At the same instant a truck, traveling with a constant speed of 20.0m/s, overtakes and passes the car.

Answer these questions:

1) How far beyond its starting point does the car overtake the truck?

2) How fast is the car traveling when it overtakes the truck?

3) Sketch an x-t graph of the motion of both vehicles. Take x=0 at the intersection.

4) Sketch a v-t graph of the motion of both vehicles.

Solution Preview

Below is the text part of the solution. Special characters, images and some equations (typed using Equation Editor) will not appear correctly. Please see the attached word document for a complete solution with diagrams and equations.


Car à 0 m/s ------------------- x ------------------------- t = t

Tr à 20 m/s ------------------- x ------------------------- t = t

Assume that the truck pass the car at the traffic light at t = 0.

At the meeting point, ...

Solution Summary

Solution analyses the one-dimensional motion of a car, which moves with a constant acceleration and a truck, which moves with a constant speed. Solution is given in a 4-page word document. Graphs of x vs. t and v vs. t are plotted for both vehicles using graphing software.