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A rock is dropped from a height of 64 ft. It is determined that its height...

A rock is dropped from a height of 64 ft. It is determined that its height (in feet) above ground t seconds later (for 0≤t≤2) is given by s(t)=−16t2+64. Find the average velocity of the rock over each of the given time intervals. Use this information to guess the instantaneous velocity of the rock at time t=0.5.

1. [0.49, 0.5]

2. [0.5, 0.51]

Can you please show every step to solving this problem?

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