Question

A particle moves along the x-axis according to the
equation x = 6t² where x is displacement in meters
and t is time in seconds. Therefore [NSEJS, 2015)
(A) the acceleration of the particle is 6 ms-2
(B) the particle follows a parabolic path
(C) each second the velocity of the particle
changes by 9.8 ms-
(D) the velocity of the particle is 6 ms at
t = 0.5 s​

Answer 1

Answer:

D

Explanation:

Since, dx/dt = v

so On differentiating equation x=6t² w.r.t

't' we get

v=12t

now at t=0.5sec

v=12×0.5=6m/s