A particle moves in a straight line with constant acceleration

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

a

. Its displacements from the origin at times

t_1

t_2

, and

t_3

are

s_1

s_2

, and

s_3

, respectively. If the times are in AP with common difference

d

and the displacements are in GP, prove that

a=\frac{(\sqrt{s_1}-\sqrt{s_3})^2}{d^2}