Q. A car starts from rest, moves with an acceleration and then decelerates at a constant rate for some time to come to rest. If the total time taken is . The maximum velocity of car is given by:
Solution:
From equation of motion, we have
Since, body starts from rest
.
Let be time when body accelerates and
when it decelerates.
...(1)
When, car finally comes to rest
...(2)
From Eqs. (1) and (2), we get
