A horizontal force acts on a cart as follows: for

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A horizontal force acts on a

2\,\text{kg}

cart as follows:

F(t)=6t\,\text{N}

for

0\le t\le 1\,\text{s}

F(t)=6(2-t)\,\text{N}

for

1< t\le 2\,\text{s}

. Initially the cart moves to the right with velocity

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

. Answer the following: (i) Find the total impulse delivered during the entire

2\,\text{s}

interval. (ii) Determine the velocity of the cart at

t=2\,\text{s}