The position vector of a particle R as a function of time t is given by → R = 4 sin [ 2 πt ] ˆ i + 4 cos [ 2 πt ] ˆ j R→=4sin2πti^+4cos2πtj^ Where R is in meters, t is in seconds and ˆ i , ˆ j i^, j^ denote unit vectors along x and y-directions, respectively. Which one of the following statements is wrong for the motion of the particle? 1. Acceleration is along − → R -R→. 2. Magnitude of the acceleration vector is v 2 R v2R, where v is the velocity of the particle. 3. Magnitude of the velocity of the particle is 8 m/s. 4. Path of the particle is a circle of radius 4m.

 

  Question:  From NCERT  | NEET PYQ 2019   || [Difficult level:Easy]  |Motion In A Plane| 

The position vector of a particle R as a function of time t is given by 
$\overrightarrow{R}=4\sin \left[2\mathrm{\pi t}\right]\hat{i}+4\cos \left[2\mathrm{\pi t}\right]\hat{j}$
Where R is in meters, t is in seconds and $\hat{i},\hat{j}$ denote unit vectors along x and y-directions, respectively. Which one of the following statements is wrong for the motion of the particle?

1. Acceleration is along $-\overrightarrow{R}$.

2. Magnitude of the acceleration vector is $\frac{v^2}{R}$, where v is the velocity of the particle.

3. Magnitude of the velocity of the particle is 8 m/s.

4. Path of the particle is a circle of radius 4m._

:3. Magnitude of the velocity of the particle is 8 m/s.

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NCERT REFERENCE

CLASS 11 | Physics |CHAPTER 4 | Motion In A Plane

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