Problem

The potential energy of a particle of mass 5 kg moving in

xy

-plane is given as

U = (7x + 24y)

joule,

x

and

y

being in metre. Initially at

t = 0

, the particle is at the origin (0, 0) moving with a velocity of

(8.6 \hat{i} + 23.2 \hat{j}) \text{ ms}^{-1}

. Then a. The velocity of the particle at

t = 4 \text{ s}

, is

5 \text{ ms}^{-1}

b. The acceleration of the particle is

5 \text{ ms}^{-2}

c. The direction of motion of the particle initially (at

t = 0

) is at right angles to the direction of acceleration d. The path of the particle is circle