Physics

Problem

A body moves in a straight line with uniform acceleration. a. (a) Starting from the definition of acceleration, derive an expression showing that the average velocity during the time interval

t

\dfrac{u+v}{2}

, where

u

and

v

are the initial and final velocities respectively. b. (b) Using the result of part (a), obtain the relation

s = ut + \dfrac{1}{2}at^{2}

for the displacement

s

in time

t

. c. (c) A car starts from rest and attains a speed of

25\,\text{m/s}

5\,\text{s}

with uniform acceleration. Using the expression derived in part (b), calculate the distance travelled in this time.

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