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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.
    not stretchy rightwards double arrow Plane is ascending not stretchy rightwards double arrow Slope is positive for x = 0 to x = 15
    Then, plane cruises at the same altitude for 90 mins.
    not stretchy rightwards double arrow Plane is at rest not stretchy rightwards double arrow Slope is 0 for x = 15 to x = 105
    Further, plane lands in 20 mins
    not stretchy rightwards double arrow Plane is descending not stretchy 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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