Physics

Problem

2\,\text{kg}

block placed on a smooth horizontal surface is acted upon by a horizontal force that varies with time according to

F(t)=4t\,\text{N}

for

0\le t\le5\,\text{s}

and is zero thereafter. The block is initially moving with a velocity of

3\,\text{m}\,\text{s}^{-1}

in the direction of the force. a. (i) Find the magnitude of the impulse delivered to the block during the interval

0\le t\le5\,\text{s}

. b. (ii) Calculate the velocity of the block at

t=5\,\text{s}

. c. (iii) Determine the momentum of the block at

t=8\,\text{s}