GUY asked in Education & ReferenceHomework Help · 4 weeks ago

# Write a function g that models the path of the object the second time it is dropped.?

The height h (in feet) of an object dropped from a window after x seconds can be modeled by h(x)=−16x2+64. The object is dropped a second time so that it hits the ground 1.5 seconds sooner. Write a function g that models the path of the object the second time it is dropped.

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• Anonymous
3 weeks ago

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• 4 weeks ago

find time the first time object is dropped

height is zero when it hits the ground

0 = −16x² + 64

16x² = 64

Divide both sides by 16

x² = 4

Take the square root of both sides

(Disregard the negative root)

x = 2 seconds

-----------------------

The object is dropped a second time so that it hits the ground 1.5 seconds sooner.

x = 2 - 1.5

x = .5

0 = -16(.5²) + h

0 = -4 + h

h = 4

Therefor

g(x) = -16t² + 4 <––––––––