The formula h = 120t - 16t[tex]^{2}[/tex] gives the height h in feet of an object t seconds after it is shot upward from Earth’s surface with an initial velocity of 120 ft per second. What will be the height of the object after 6 seconds?

The formula h 120t 16ttex2tex gives the height h in feet of an object t seconds after it is shot upward from Earths surface with an initial velocity of 120 ft p class=

Respuesta :

Answer:

C

Step-by-step explanation:

So we have the function:

[tex]h(t)=120t-16t^2[/tex]

Where h(t) measures the height after t seconds.

To find the height of the object after 6 seconds, substitute 6 for t. So:

[tex]h(t)=120(6)-16(6)^2[/tex]

Evaluate. Square:

[tex]h(t)=120(6)-16(36)[/tex]

Multiply:

[tex]h(6)=720-576[/tex]

Subtract:

[tex]h(6)=144[/tex]

So, the height after six seconds of the object is 144 ft.

Our answer is C.