Question

The kinetic energy (KE) versus time graph for a particle moving along a straight line is as shown in the figure. The force versus time graph for the particle may be

A.
B.
C.
D.

Answer 1

Correct Answer - D

Answer 2

Correct option is (D) 

The above graph shows that Kinetic energy is proportional to time.

i.e, E_k ​∝ t ⇒ v² ∝ t

Or v = ct ​........... where c′ is the constant of propotionality

Or \(a = \frac {dv}{dt} =\frac c{2\sqrt t}\)

And F = ma 

Therefore,

\(F = m \frac c {2\sqrt t}\)

\(F \propto \frac 1{\sqrt t}\)