Starting from rest

PHYSICS · Multi correct · CBSE · Physics · Motion in a Straight Line · Motion in a Straight Line

Problem

Starting from rest, a particle is first accelerated for time

t_1

with constant acceleration

a_1

and then stops in time

t_2

with constant retardation

a_2

. Let

v_1

be the average velocity in this case and

s_1

the total displacement. In the second case, it accelerates for the same time

t_1

with constant acceleration

2a_1

and comes to rest with constant retardation

a_2

in time

t_3

. If

v_2

is the average velocity in this case and

s_2

the total displacement, then (1)

v_2=2v_1

(2)

2v_1<v_2<4v_1

(3)

s_2=2s_1

(4)

2s_1<s_2<4s_1