A car travels counter-clockwise around a circular track of radius

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

150\text{ m}

. At the instant the car is located

\pi/3

radians from a fixed reference line, its speed is

20\text{ m/s}

and is increasing at

3\text{ m/s}^2

. Let

\theta

denote the car’s angular position (in radians) measured from the reference line. Which ordered pair best gives

(d\theta/dt,\; d^{2}\theta/dt^{2})

at that instant? (a)

(7.50\text{ rad/s},\;0.020\text{ rad/s}^2)

(b)

(0.133\text{ rad/s},\;0.150\text{ rad/s}^2)

(c)

(0.133\text{ rad/s},\;0.020\text{ rad/s}^2)

(d)

(0.133\text{ rad/s},\;0.018\text{ rad/s}^2)