The driver of a car wishes to pass a truck that is traveling at a constant speed

Question

The driver of a car wishes to pass a truck that is traveling at a constant speed of 20.9m/s . Initially, the car is also traveling at a speed 20.9m/s and its front bumper is a distance 23.1m behind the truck's rear bumper. The car begins accelerating at a constant acceleration 0.620m/s2 , then pulls back into the truck's lane when the rear of the car is a distance 26.8m ahead of the front of the truck. The car is of length 4.60m and the truck is of length 21.9m .

How much time is required for the car to pass the truck?

What distance does the car travel during this time?

What is the final speed of the car?

Explanation / Answer

We know that if u is the initial velocity, a is the (constant) acceleration, d is the distance travelled, and t is the time taken then d = ut + 1/2 at

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