Constant acceleration velocity and displacement

AI Thread Summary
The problem involves an automobile accelerating at 2.2 m/s² from rest and a truck moving at a constant speed of 8.6 m/s. To find when the automobile overtakes the truck, the displacements of both vehicles must be expressed as functions of time. The solution requires determining the time at which these displacements are equal, followed by calculating the distance beyond the traffic signal and the speed of the car at that moment. The discussion emphasizes the importance of setting up the equations correctly to solve for both variables. The approach involves basic kinematic equations for constant acceleration and uniform motion.
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Homework Statement



At the instant the traffic light turns green, an automobile starts with a constant acceleration a of 2.2 m/s2. At the same instant a truck, traveling with a constant speed of 8.6 m/s, overtakes and passes the automobile.
(a) How far beyond the traffic signal will the automobile overtake the truck?
m
(b) How fast will the car be traveling at that instant? m/s


The Attempt at a Solution



Not exactly sure how to go about this problem.
 
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At the instant the traffic light turns to green, the truck and the car are at the "same spot" beside each other on the road. The truck moves at constant velocity, the car starts from rest and moves with constant acceleration. Write their displacement as function of time and find the time when the displacements are equal, and give both the displacement and the speed of the car at that instant.

ehild
 
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