A particle moves along a straight line such that its speed depends on position…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

1\,\text{kg}

particle moves along a straight line such that its speed depends on position according to

v = 3\sqrt{x}

, where

v

is in

\text{m/s}

and

x

in metres (the particle starts from

x = 0

). Determine the instantaneous power delivered to the particle when it reaches

x = 4\,\text{m}

. (a)

36\,\text{W}

(b)

27\,\text{W}

(c)

54\,\text{W}

(d)

18\,\text{W}