Derivation question based on uniformly accelerated motion.

PHYSICS · Multi-part · CBSE · Physics · Motion · Motion

Problem

Derivation question based on uniformly accelerated motion. (a) Starting from the definition of acceleration

a = \dfrac{v - u}{t}

, express the time

t

in terms of

u

v

, and

a

for a body moving in a straight line with uniform acceleration. (b) Write an expression for the distance

s

travelled in time

t

in terms of

u

v

, and

t

only. (c) Eliminate

t

between the expressions obtained in parts (a) and (b) to derive a relation connecting

v^{2}

u^{2}

a

, and

s

for motion with uniform acceleration.