A point P moves in counter-clockwise direction on a circular path as shown in the
figure. The movement of ' P ' is such that it sweeps out a length
, where
is in meters and t is in seconds. The radius of the path is 20 m. The acceleration of ' P ' when
is nearly.

Text Solution
Verified by ExpertsThe correct answer is:
D
S = t 3 + 5
Linear speed of the particle
v =
= 3 t 2 at t = 2 s I j v = (3 × 2
2 ) m/s = 12 m/s
Linear acceleration a 1 =
= 6 t
at t = 2 s, I j a 1 = 12 m/s 2
The centripetal acceleration
a 2 =
=
m/s 2 = 7.2 m/s 2
a net =
=
= 14 m/s 2
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