David H. answered • 01/17/17

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Patient & Effective Math/Physics Tutor near Fort Worth

FYI - Acceleration is in units of m/s

^{2}Write out the equations of the distance the truck and car have traveled.

Remember x

_{f}= x_{o}+ v_{o}t + (1/2)at^{2}Let t = 0 be when the truck passes the car. And set x

_{o}to 0 to be where truck passes car.First assume the truck is not accelerating.

x

_{truck}= v_{truck}tFor the car it initially has 0 velocity. So your equation is

x

_{car}= (1/2)a_{car}t^{2}We want to know the time it takes for x

_{truck}= x_{car}= x*Set equations equal and solve for t. You will get 2 answers. t = 0 and t = ?

t = 0 is not the answer to the problem. This is when the truck passes the car.

Hope that is helpful.

Best - David

David H.

I gave you the equations. You just need to plug in values.

t = 14 seconds is the answer.

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01/18/17

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01/18/17