A body of mass is initially at rest on a smooth horizontal surface

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A body of mass

2\,\text{kg}

is initially at rest on a smooth horizontal surface. It is acted upon by a horizontal force that varies with time as

F(t)=10+5t\;\text{N}

for

0\le t\le4\,\text{s}

, where

t

is in seconds and the force is along the direction of motion. (a) Find the velocity of the body at

t=4\,\text{s}

. (b) Determine the displacement covered by the body during this

4\,\text{s}

interval. (c) Hence calculate the average power supplied by the force over the time interval

0

4\,\text{s}