At the instant a traffic light turns green, a car that has been waiting at the intersection starts moving with a constant acceleration of 2.5 m/s/s. At that moment a truck traveling with a constant velocity of 15.0 m/s is at the same position along the road and passes the car in the next lane. Calculate the distance beyond the traffic light where the car and the truck will be side-by-side.

d = 180 m.

Explanation:

We can find the distance where the car and the truck will be side-by-side as follows:

For the car we have:

Where:

is the final position

is the initial position = 0

is the initial speed = 0

: is the acceleration = 2.5 m/s²

t: is the time  

  (1)

For the truck we have:

 (2)

By equating equation (1) and (2) we have:

Since the car and the truck will be side-by-side at 12 seconds, we can calculate now the distance:

Therefore, the distance at which the car and the truck will be side-by-side is 180 m.

I hope it helps you!

glen is correct.

step-by-step explanation:

glen is correct because when you multiply 4 * 2 = 8.

and 4 * 3 = 12.