A particle of mass moves along the -axis under a force given by for

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

A particle of mass

1\,\text{kg}

moves along the

x

-axis under a force given by

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

for

0 \le t \le 3\,\text{s}

. The force is zero for

t>3\,\text{s}

. (i) Derive an expression for the impulse delivered to the particle during the interval

0 \le t \le 3\,\text{s}

in terms of the given function. (ii) Calculate the numerical value of this impulse. (iii) If the particle is initially at rest, find its speed at

t = 3\,\text{s}