A car accelerates from rest at a constant rate a
for some time, after which it decelerates at
constant rate b and come to rest. If the total time
elapsed is t, the maximum velocity acquired by the
car will be
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From rest, the car acceleraters for time t,
So α=
t
1
V
...(1) , let maximum velocity is V.
The car begins decelerate after attaining maximum velocity
β=
t−t
1
V
....(2)
By adding 1 and 2
t=v(
α
1
+
β
1
v=
α+β
(αβ)t
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