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The position vector of a particle vec(R ...

The position vector of a particle `vec(R )` as a funtion of time is given by:
`vec(R )= 4sin(2pit)hat(i)+4cos(2pit)hat(j)`
Where `R` is in meters, `t` is in seconds and `hat(i)` and `hat(j)` denote until vectors along x-and y- directions, respectively Which one of the following statements is wrong for the motion of particle ?

A

Path of the particle is a circle of radius 4 meter

B

Acceleration vectors is along `-overset(rarr)R`

C

Magnitude of acceleration vector is `(v^(2))/( R)` where v is the velocity of particle.

D

Magnitude of the velocity of particle is 8 meter/ second

Text Solution

Verified by Experts

The correct Answer is:
D
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