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If a bus accelerates from rest for time $t_{1}$ , at a constant rate $' α'$ and then retards at a constant rate $' β'$ for time $t_{2}$ and comes to rest, then $t_{1} {/t}_{2} =$

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\frac{β + α}{2}

\frac{β}{α}

\frac{α}{β + α}

\frac{β + α}{α}

answer is D.

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Detailed Solution

The bus starting from rest and acceleration‘

α

’ in time

' t_{1}'

and at constant retardation ‘

β

’ in time

{'t}_{2}'

We get v after $t_{1}$ is equal to $v = α t_{1} \to (1)$

v after $t_{2}$ is equal to zero

$\Rightarrow v = β t_{2} \to (2)$

From (1) and (2) we get

$α t_{1} = β t_{2}$

$\Rightarrow \frac{t_{1}}{t_{2}} = \frac{β}{α}$

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