h(t)=−16t^2+5184 The height of a pebble in feet that is dropped is given by the equation above. According to the Mean Value Theorem, there is a time t when the instantaneous velocity of the pebble is equal to the average velocity over the course of its trajectory. Determine the value of this t. Assume the interval under consideration is [0,t^∗] where t^∗ is the time that the pebble hits the ground

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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h(t)=−16t^2+5184

The height of a pebble in feet that is dropped is given by the equation above. According to the Mean Value Theorem, there is a time t when the instantaneous velocity of the pebble is equal to the average velocity over the course of its trajectory. Determine the value of this t.

Assume the interval under consideration is [0,t^∗] where t^∗ is the time that the pebble hits the ground. 

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