The equation Y = - 16t2 + 120 can be used to represent the fruit's height above the ground, where t represents time, in seconds, after she threw the apple. How long did it take the apple to hit the ground? Round your answer to the neares hundreth.

Question

Marina Hancock

Mathematics

20 June, 15:39

The equation Y = - 16t2 + 120 can be used to represent the fruit's height above the ground, where t represents time, in seconds, after she threw the apple. How long did it take the apple to hit the ground? Round your answer to the neares hundreth.

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Answers (1)

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Jacob Stanley · Answer 1

y = - 16t^2 + 120

Let y = 0

Solve for t.

0 = - 16t^2 + 120

-120 = - 16t^2

-120/-16 = t^2

7.5 = t^2

sqrt{7.5} = sqrt{t^2}

2.7386127875 = t

We now round to the nearest hundredths, which means to 2 decimal places.

Answer: t = 2.74 seconds