The $x$ and $y$ coordinates of a particle moving in a plane are given by $x(t) = a\ cos (pt)$ and $y(t) = b\ sin (pt)$ where $a, b$ $(

Question

The $x$  and  $y$  coordinates of a particle moving in a plane are given by  $x(t) = a\ cos (pt)$  and  $y(t) = b\ sin (pt)$  where  $a, b$   $(<a$ ) and pare positive constants of appropriate dimensions and  $t$  is time. Then, which of the following is not true?

cdquestions Admin · Accepted Answer

The correct option is (D): Distance travelled by the particle in time interval between $t = 0$  and  $t = 2p$  is  $a$ .

Answer

The path of the particle is an ellipse.

Answer

Velocity and acceleration of the particle are perpendicular to each other at $t=\frac {\pi}{2p}$

Answer

Acceleration of the particle is always directed towards a fixed point

Answer

Distance travelled by the particle in time interval between $t = 0$ and $t = 2p$ is $a$.

The \(x\) and \(y\) coordinates of a particle moving in a plane are given by \(x(t) = a\ cos (pt)\) and \(y(t) = b\ sin (pt)\) where \(a, b\) \((<a\)) and pare positive constants of appropriate dimensions and \(t\) is time. Then, which of the following is not true?

The Correct Option is D

Solution and Explanation

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