Class 11 NEET Physics Motion in a Straight Line Questions

Disatance, (x=t+5)−1 .....(i)
Velocity, v=

dx

dt

=

d

dt

(t+5)−1
=−(t+5)−2 ........(ii)
Acceleration, a=

dv

dt

=

d

dt

[−(t+5)−2]
=2(t+5)−3 ............(iii)
From equation (ii), we get
v

3

2

=−(t+5)−3 ........(iv)
Substituting this in equation (iii) we get,
Acceleration, a=−2v

3

2

a∝(velocity)

3

2