First slide

The 3 equation for uniform acc

Question

A car accelerates from rest at a constant rate ‘ $α$ ’ for some time after which it decelerates at a constant rate $β$ to come to rest. If the total time elapsed is t, maximum velocity reached by the car is:

Easy

A

$\frac{α β (α + β)}{t}$
B

$\frac{α β}{(α - β) t}$
C

$\frac{α β t}{(α + β)}$
D

$\frac{(α + β)}{α β} t$

Solution

$v = α t' 0 = α t' - β (t - t') t' = \frac{β t}{α + β} v = \frac{α β t}{α + β}$

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