Published by:
CGP EDU Academic Team
Published on: September 12, 2026
A particle moves in x-y plane. The position vector of particle at any time t is 
m. The rate of change of 
at time t = 2s. (where 
is the angle which its velocity vector makes with positive x-axis) is
A
rad/s
B
rad/s
C
rad/s
D
rad/s
Text Solution
Verified by ExpertsThe correct answer is:
A
x = 2t ⇒ V x = 
= 2
y = 2t 2 ⇒ v y = 
= 4t
∴ tan θ = 
= 
= 2tDifferentiating with respect to time we get,
(sec 2 θ ) 
= 2
Or (1 + tan 2 θ ) 
= 2
or (1 + 4t 2 ) 
= 2
or 
= 
at t = 2 s is 
=
= 
rad/s
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