Home Physics Motion in a Plane JEE (Main) / AIEEE Problems (Previous Years) A point P moves in counter-clockwise directi…
Physics Motion in a Plane JEE (Main) / AIEEE Problems (Previous Years) MCQ (Single Correct)

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.

A
B

C
D

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Text Solution

Verified by Experts
The 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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