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(a) Derive the formula : s=ut+(1)/(2)at^...

(a) Derive the formula : `s=ut+(1)/(2)at^(2)`, where the symbols have usual meanings.
(b) A train starting from stationary position and moving with uniform acceleration attains a speed of 36 km per hour in 10 minutes. Find its acceleration.

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### Solution: #### Part (a): Derivation of the formula \( s = ut + \frac{1}{2}at^2 \) 1. **Define the variables**: - Let \( u \) be the initial velocity of the object. - Let \( a \) be the constant acceleration. - Let \( t \) be the time for which the object is in motion. ...
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