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Norma-Jean [14]
3 years ago
8

The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial velocity of 80 feet per sec

ond is f (t) = -16t2 + 80t + 6. (a) Verify that f(2) = f(3).
Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

Answer:

f(2) = f(3) = 102 ft

Step-by-step explanation:

The height f at t = 2 seconds is given by:

f(t) = -16t^2 + 80t + 6\\f(2) = -16*2^2 + 80*2 + 6\\f(2)=-64+160+6\\f(2)=102\ ft

The height f at t = 3 seconds is given by:

f(t) = -16t^2 + 80t + 6\\f(3) = -16*3^2 + 80*3 + 6\\f(3)=-144+240+6\\f(3)=102\ ft

For both t =2 and t =3, the expression results in a height of 102 ft, therefore f(2) = f(3) = 102 ft.

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Step-by-step explanation:

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