A baseball is dropped from a stadium seal that is 73 feet ab

A baseball is dropped from a stadium seal that is 73 feet above the ground. Its height s in feet after t seconds is given by s(t) = 73 - 14t^2. Estimate to the nearest tenth of a second how long it takes for the baseball to strike the ground. The baseball strikes the ground in seconds. (Simplify your answer. Round to the nearest tenth as needed.)

Solution

Solution:

The ball will strike the ground if s(t) = 0

=> 73 - 14 t² = 0

=> 14 t² = 73

=> t² = 73/14

=> t = 2.2835 seconds

(2.3 sec approx.)