An object moves along a straight track

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

Problem

An object moves along a straight track. Its velocity

v(t)

(in meters per second) for

0\le t\le 8

seconds is given by the following piecewise–linear description. •

v(t)

increases linearly from

0

6

0\le t\le 2.

•

v(t)

decreases linearly from

6

-2

2< t\le 5.

•

v(t)

remains constant at

-2

5< t\le 8.

(a) Calculate the displacement of the object over the time interval

0\le t\le 8.

(b) Determine the total distance traveled by the object on

0\le t\le 8.

0\le t\le 8.

(d) If the object’s position is

5\text{ m}

t=0,

find its position at

t=8\text{ s}.