Posted by aman verma on .
a car accelerates from rest at a constant rate alpha for some time, after which it decelerates at a constant rate beeta and comes to rest. if the total time elapsed is t, the maximum velocity acquired by the car will be?

physics 
MathMate,
Let maximum velocity be x
then x/α+x/β=t
Solving,
x=t/(1/α+1/β)
=αβt/(α+β)