Question

# An airplane takes 15 minutes to reach its cruising altitude. The plane cruises at that altitude for 90 minutes , and then descend for 20 min before it lands. Sketch the graph of the height of the plane over the time

## The correct answer is: y = 0 at x = 125.

### HINT – Try to figure out slope of the line from the information given.

SOL – Let time taken = x

Altitude of the plane = y

Graph starts from origin since at time, x = 0 mins altitude, y = 0 feet

It is given that plane reaches cruising altitude in 15 mins.

Plane is ascending Slope is positive for x = 0 to x = 15

Then, plane cruises at the same altitude for 90 mins.

Plane is at rest Slope is 0 for x = 15 to x = 105

Further, plane lands in 20 mins

Plane is descending Slope is negative for x = 105 to

x = 125

Since plane lands, it implies that altitude, y = 0 at x = 125

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