The magnitude of acceleration and velocity of a particle moving in a plane, whose position vector r → = 3 t 2 i ^ + 2 t j ^ + k ^ at t = 2 sec . are, respectively

Question

The magnitude of acceleration and velocity of a particle moving in a plane, whose position vector r → = 3 t 2 i ^ + 2 t j ^ + k ^ at t = 2 sec . are, respectively, 148 , 6, 144 , 6, 13 , 3, 14 , 3

MARKS App · Accepted Answer

Given that, r ¯ = 3 t 2 i ^ + 2 t j ^ + k ^ Velocity, v = d r d t = 6 t i ^ + 2 j ^ When t = 2 sec , v = 12 i ^ + 2 j ^ v = 12 2 + 2 2 = 148 Acceleration, A = d v d t = 6 i ^ A = 6 2 = 6

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