Question

A car accelerates from rest at a constant rate a
for some time, after which it decelerates at a
constant rate B and comes to rest. If total time
elapsed is t, then maximum velocity acquired by
car will be
Bt​

Answer 1

Let maximum velocity=v

Now,v=0+αt

1

Similarly, 0=v−βt

2

From the above equations we get,

t

1

=

α

v

&t

2

=

β

v

t

1

+t

2

=t=

α

v

+

β

v

⇒v=

α+β

αβ

t

hope it helps you