First slide

The 3 equation for uniform acc

Question

A train accelerates from rest for time t₁ at a constant rate $α$ and then it retards at the constant rate $β$ for time t₂ and come to rest. The ratio of t₁/t₂ is equal to

Easy

A

$α / β$
B

$β / α$
C

$α^{2} / β^{2}$
D

$β^{2} / α^{2}$

Solution

$\begin{array}{l} v = 0 + {αt}_{1} or t_{1} = v / α \\ 0 = v - {βt}_{2} or t_{2} = v / β \\ ∴ \frac{t_{1}}{t_{2}} = \frac{β}{α} \end{array}$

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