A car stopped at a red light at an intersection. At the instant the traffic ligh

Q: A car stopped at a red light at an intersection. At the instant the traffic ligh

let after t time , the car catches truck for car distance x = v0x + (1/2)8ax*t^2 x = 0 + (1/2)*3.5*t^2..........(1) for truck acceleration = 0 distance x = v*t x = 28*t.........(2) from 1 & 2 28*t = (1/2)*3.5*t^2 t = 2*28/3.5 = 16 s

ID: 1535601 • Letter: A

Question

A car stopped at a red light at an intersection. At the instant the traffic light turns green (time= zero), the car starts moving forward with a constant acceleration of 3.50 m/s^2. At the same time the light turns green (time 0). a truck is already moving with a constant speed of 28 m/s in the same direction and is next to the car and passes it. Since the car is accelerating and the truck is not, the car eventually catches up to the truck.
-what time does the car overtake the truck?
-how far beyond its starting point (traffic lights) does the car overtake the truck?

Explanation / Answer

let after t time , the car catches truck

for car

distance x = v0x + (1/2)8ax*t^2

x = 0 + (1/2)*3.5*t^2..........(1)

for truck

acceleration = 0

distance x = v*t

x = 28*t.........(2)

from 1 & 2

28*t = (1/2)*3.5*t^2

t = 2*28/3.5 = 16 s <<<<-------answer

-----------------

x = (1/2)*3.5*16^2 = 448 m <<<<<-------answer

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A car stopped at a red light at an intersection. At the instant the traffic ligh

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