Question

A particle starts from rest moves on a straight line with uniform acceleration a after time t1 of its beginning of motion its accelerationreverses its direction but magnitude remain constant total time taken for complete journey is

Answer 1

Answer:

Let the acceleration of the particle be α.

Initial velocity v

i

=0

∴ Distance travelled in 2 seconds: x=v

i

t+

2

1

αt

2

where t=2 s

∴ x=0+

2

1

α(2)

2

=2α ..........(1)

Distance travelled in 4 seconds: S=v

i

t+

2

1

αt

2

where t=4 s

∴ S=0+

2

1

α(4)

2

=8α ............(2)

⟹ Distance traveled in last 2 seconds: y=8α−2α=6α

∴

x

y

=

2α

6α

⟹y=3x