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Maths-

General

Easy

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

hint Hint:

Try to figure out slope of the line from the information given

The correct answer is: plane lands, it implies that altitude, y = 0 at x = 125

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.
$rightwards double arrow$ Plane is ascending $rightwards double arrow$ Slope is positive for x = 0 to x = 15
Then, plane cruises at the same altitude for 90 mins.
$rightwards double arrow$ Plane is at rest $rightwards double arrow$ Slope is 0 for x = 15 to x = 105
Further, plane lands in 20 mins
$rightwards double arrow$ Plane is descending $rightwards double arrow$ 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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