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kakasveta [241]
3 years ago
10

The function y=−16x2+v0x models the height of a football in feet x seconds after a player kicks it. In the equation of the funct

ion, v0 is the ball's initial velocity in feet per second. The ball hits the ground 2 seconds after the player kicks it. What is the value of ​ v0 ​?
Mathematics
2 answers:
miss Akunina [59]3 years ago
6 0

Answer:

The value of v₀ is 32.

Step-by-step explanation:

The height of a football in feet x seconds after a player kicks it, is defined by the function

y=-16x^2+v_0x

It is given that the ball hits the ground 2 seconds after the player kicks it. The height is 0 at x=2.

0=-16(2)^2+v_0(2)

0=-64+2v_0

64=2v_0

Divide both sides by 2.

32=v_0

Therefore the value of v₀ is 32.

Vesna [10]3 years ago
3 0
16x^2-vox=0 when x=2 so

16x^2-vox=0

64-2vo

64=2vo

vo=32 ft/s

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