An object is dropped from the top of a cliff 610 meters high. its height above the ground t seconds after it is dropped is 610minus4.9t squared. determine its speed 7 seconds after it is dropped.

Height after ts seconds is given by the expression

Taking derivative with respect to time

This is the value of velocity after time t seconds, negative sign means velocity is towards downward direction.

v = 9.8t

After 7 seconds, v = 9.8*7 = 68.6 m/s

Speed after 7 seconds after it is dropped = 68.6 m/s

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