An acceleration/distance/velocity question.

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AI Thread Summary
The problem involves a car accelerating at 6.0 m/s² and a truck moving at a constant speed of 21 m/s. To determine how far the car travels before overtaking the truck, two distance equations must be set equal: one for the car and one for the truck. For the second part, the car's final velocity when it overtakes the truck can be calculated using the distance found in the first part. The key is to establish the relationship between the two vehicles' distances and apply the appropriate kinematic equations. This approach will yield both the distance and the speed of the car at the point of overtaking.
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Homework Statement



As a traffic light turns green, a waiting car starts with a constant acceleration of 6.0 m/s^2. At the instant the car begins to accelerate, a truck with a constant velocity of 21 m/s passes in the next lane.

A)How far will the car travel before it overtakes the truck?

B)How fast will the car be traveling when it overtakes the truck?



Homework Equations



i have all of the following formulas:
vf = vi+at
d = (vf+vi)/2 x t
d = (vi)(t) + 1/2(a)(t)^2
vf^2 = vi^2 + 2(a)(d)


The Attempt at a Solution



i'm thinking i have to set a distance equation equal to the other one for A. I'm just not sure how to start the problem or anything. and for B, do i use what i'll get for distance and plug it into another equation?
 
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(a) Write two separate distance equations, one for the car and one for the truck. What can you say about these two distances when the car reaches the truck?
 
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