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?
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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.