A body starts with an initial velocity and moves with a uniform acceleration for a time

PHYSICS · Multi-part · CBSE · Physics · Motion in a Straight Line · Motion in a Straight Line

Problem

A body starts with an initial velocity

u

and moves with a uniform acceleration

a

for a time

t

. Using an appropriate velocity–time graph, answer the following: (i) Derive an expression for the final velocity

v

after time

t

. (ii) Obtain an expression for the displacement

s

covered in time

t

. (iii) Eliminate

t

from your results to prove that

v^{2}=u^{2}+2as