Problem

General: Impact Velocity If a marble is dropped from the top of the Sears Tower in Chica...

General: Impact Velocity If a marble is dropped from the top of the Sears Tower in Chicago, its height above the ground t seconds after it is dropped will be s(t) = 1454 - 16t2 feet (neglecting air resistance).

a. How long will it take to reach the ground?

b. Use your answer to part (a) to find the velocity with which it will strike the ground.

c. Find the acceleration at any time t. (This number is called the acceleration due to gravity.)

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