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damaskus [11]
3 years ago
13

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?
Mathematics
1 answer:
Levart [38]3 years ago
3 0

Answer:

<em>The ball takes 5 seconds to hit the ground</em>

Step-by-step explanation:

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

h(t)=80t-16t^2

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:

80t-16t^2=0

Factoring out t:

t(80-16t)=0

It gives us two solutions:

t=0

80-16t=0

Solving:

-16t=-80

t=-80/(-16)=5

t = 5 sec

Thus, the ball takes 5 seconds to hit the ground

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