Kinematics Constant Acceleration

AI Thread Summary
A car accelerates at 3.2 m/s² from rest while a truck travels at a constant speed of 20 m/s. The problem involves calculating the distance until the car overtakes the truck and the car's speed at that point. The equation used for the car's distance is D1 = V1t + 1/2at², leading to a relationship between the distances traveled by both vehicles. The user initially struggled with squaring a fraction but resolved the issue with assistance. The discussion highlights the importance of understanding kinematic equations in solving constant acceleration problems.
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Homework Statement


The instant the traffic light turns green a car accelerats at 3.2 m/s^2. At the same instant a truck traveling at 20m/s overtakes the car.

a) How far until the car overtakes the truck

b)How fast is the car traveling when it overtakes the truck.


Homework Equations


V1c=o VT=20.0 m/s
D=? D=?
a1=3.2m/s^2 t2=D/20
t1=? a=0 m/s^2

The Attempt at a Solution


D1=V1t +1/2at^2
=0+1.6(D/20)^2
=(1.6D^2/400)
The last part is where I am stuck. I don't know how to properly square a number/number.
 
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Try dividing both sides of the equation by D.
 
alright I figured it out, thanks for the help. Its much appreciated.
 
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