A moving train is brought to rest within $20 s e c o n d$ by applying brakes. Find the initial velocity if the relardation due to brakes is $2 m / s^{2}$ .

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Solution

Assumptions:
Let initial velocity be $= u m / s$
Step 1: Given Data:
Retardation of train, $a = - 2 m / s^{2}$
Time taken to stop the train, $t = 20 s e c$
The final velocity of train, $v = 0 m / s$
Step 2: calculation:
As we know the rate of change of velocity is known as acceleration, so
$A c c e l e r a t i o n / r e t a r d a t i o n = \frac{v - u}{t} - 2 m / s^{2} = \frac{0 - u}{20 s e c} u = 20 \times 2 = 40 m / s$
Hence, the initial velocity of the train will be, $= 40 m / s$

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A moving train is brought to rest within 20second by applying brakes. Find the initial velocity if the relardation due to brakes is 2m/s2.

A moving train is brought to rest within $20 s e c o n d$ by applying brakes. Find the initial velocity if the relardation due to brakes is $2 m / s^{2}$ .