The position vector of a particle 
as a function of time is given by:
= 4sin(2πt) 
+ 4cos(2πt)
Where R is in meters, t is seconds and 
and 
denote unit vectors along x-and y-directions, respectively. Which one of the following statements is wrong for the motion of particle?
A
Magnitude of acceleration vector is 
, where v is the velocity of particle
, where v is the velocity of particle
B
Magnitude of the velocity of particle is 8 meter/second
C
path of the particle is a circle of radius 4 meter.
D
Acceleration vector is along - 
Text Solution
Verified by ExpertsThe correct answer is:
B
x = 45 m 2πt, y = 4 cos (2πt)
Squiring and adding x 2 + y 2 = 4 2 ⇒ R = 4
⇒ Circular motion
V = ωR = (2π) = 8π
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