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

Mathematics

Jaiden Nash

9 May, 20:54

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.

+4

Answers (1)

Know the Answer?

Laylah Hansen · 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