An object is dropped from a height of 150 feet. Its heights s at time, t is given by the equation s(t) =-16t^2+150 ,where s is measured in feet and t is measured in seconds.

Find the average rate of change of the height over the interval [1, 2.5).

O 1) -56 ft/sec

O2) 77 ft/sec

03) 56 ft/sec

O4) -35 ft/sec

The average rate of change of the height over the interval [1, 2.5] is - 56 feet per second.

Step-by-step explanation:

Let . Geometrically speaking, average rate of change over a given interval (), measured in feet per second, is determined by definition of secant line, which is defined:

(1)

Where:

, - Initial and final position of the object, measured in feet.

, - Initial and final times, measured in seconds.

If we know that and , then the average rate of change over the interval :

The average rate of change of the height over the interval [1, 2.5] is - 56 feet per second.

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step-by-step explanation: