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
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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