A car starts from rest and travels for t1 seconds with a uniform acceleration a1. The driver then applies the brakes, causing a uniform acceleration a2. If the brakes are applied for t2 seconds, determine the following. Answers are in terms of the variables a1, a2, t1, and t2.

Question

(a) How fast is the car going just before the beginning of the braking period?
(b) How far does the car go before the driver begins to brake?
(c) Using the answers to parts (a) and (b) as the initial velocity and position for the motion of the car during braking, what total distance does the car travel?

Answer 1

See the 3rd link below under Related Questions.

A similar question was answered for (a).