A golf ball is hit with an initial velocity of 80 ft/sec.Use the equation h(t)=80t-16t^2 where h(t) is the height of the object in feet and t is the time in seconds. How long will it take for the ball to hit the ground?

The ball takes 5 seconds to hit the ground

Step-by-step explanation:

The equation to model the height of a golf ball in time t is:

There are two moments when the height is zero: At launch time and when it hits the ground. To find the last time, we equate:

Factoring out t:

It gives us two solutions:

t=0

Solving:

t = 5 sec

Thus, the ball takes 5 seconds to hit the ground

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Step-by-step explanation:

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