The velocity is defined as rate of change of distance with respect to time .

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The initial position of the object is miles.

Observe the graph of the velocity function.

The velocity of the object is  miles/hour during the time interval .

Position of the object at time is miles.

Observe the graph of the velocity function.

The velocity of the object is  miles/hour during the time interval .

Position of the object at time is miles.

Observe the graph of the velocity function.

The velocity of the object is  miles/hour during the time interval .

Height of the object at time is miles.

Graph:

The initial position of the object is miles, so the point is .

Position of the object at time is miles, so the point is .

Position of the object at time is miles, so the point is .

Position of the object at time is miles, so the point is .

Draw the coordinate plane.

Plot the points.

Connect the point using straight line.

Graph of the position function is

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