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5 votes
PLEASE HELP!!!!

Question: ⇒ An object is launched from the ground. The object’s height, in feet, can be described by the quadratic function h(t) = 80t – 16t2, where t is the time, in seconds, since the object was launched. When will the object hit the ground after it is launched?


⇒ Explain how you found your answer.


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Thank you!

User Aresnick
by
8.4k points

2 Answers

6 votes

Answer:

The object will hit the ground after 5 seconds. You can rewrite the quadratic function as a quadratic equation set equal to zero to find the zeros of the function 0 = –16t2 + 80t + 0. You can factor or use the quadratic formula to get t = 0 and t = 5. Therefore, it is on the ground at t = 0 (time of launch) and then hits the ground at t = 5 seconds

User Tintin
by
8.5k points
7 votes

Answer:

it would take 5 seconds for the object to hit the ground after launched.

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1st step: (turn the quadratic function to a quadratic equation by setting the equal to zero): 0 = -16t2 + 80t + 0

2nd step: t = 0 & t = 5

(t = 0 is the time of launch. t = 5 represents the 5 seconds it took to hit the ground after the object was launched.)

User Joshua Tompkins
by
8.8k points
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