At the instant the traffic light turns green, a car that has been waiting at an intersection starts ahead with a constant acceleration of 3.05 m/s2 . At the same instant a truck, traveling with a constant speed of 25.0 m/s , overtakes and passes the car.How far beyond its starting point does the car overtake the truck?

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Asked Oct 18, 2019
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At the instant the traffic light turns green, a car that has been waiting at an intersection starts ahead with a constant acceleration of 3.05 m/s2 . At the same instant a truck, traveling with a constant speed of 25.0 m/s , overtakes and passes the car.

How far beyond its starting point does the car overtake the truck?
 
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Expert Answer

Step 1

Given

Acceleration (a) = 3.05 m/s2

Speed (v) = 25.0 m/s

Step 2

The one is pretty straight forward. You know that t = 0 and x = 0, the car starts moving with a constant acceleration of 3.05 m/s2.

At the...

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For the truck d vt For the car 1 d ut at 2 u 0 at (2) d 2 From equation (1)and equation (2) 1 at2 vt 2 2v a 2x25 3.05 -16.39 s That the distance is D vt D 25x16.39 D 410 m

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