Question
A body moves from rest with a constant acceleration. Which one of the following graphs represents the variation of its kinetic energy K with the distance travelled (x)?
Solution
C.
Kinetic energy is given by,
K =
where v = 0 + t
∴ K = m
=
K =
∴ As = [ L T-2 ]
∴ L ∝ T2
∴ K = .L
∴ K ∝ L
∴ K ∝ x
The graph is straight line.