Correct option is A
The correct answer is:(a) v∝t
When a body starts from rest and moves with uniform acceleration, the following equations of motion apply:
v=u+at, where v is the velocity, u is the initial velocity (0 in this case), a is acceleration, and t is time.
Since u=0, v=at, indicating that v∝t
Uniform acceleration implies a constant rate of velocity change.
The relationship s∝t2 can be understood from the second equation of motion:
s = ut+12at2
For v2∝s, this comes from the third equation of motion: v2=u2+2as
Additional Information:
s∝t: Incorrect, because the displacement sss is proportional to the square of time under uniform acceleration. From the equation s=ut+12at2, s∝t2 when u=0.
v∝s: Incorrect, because v2=u2+2as indicates that v2∝s (not v∝s).
s∝t: Incorrect, as s∝t2 under uniform acceleration, not t.