16. PHYSICS The formula h = 1201 - 16t2 gives the height h in feet of an object 1 seconds after it is shot upward from
Earth's surface with an initial velocity of 120 feet per second. What will the height of the object be after 6 seconds?

Respuesta :

Question:

The formula h = 120t-16t^2 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 feet per second. What will the height of the object be after 6 seconds?

Answer:

The height of object after 6 seconds is 144 feet

Solution:

The formula that gives the height of an object is:

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

Where,

h is the height in feet and t is the time in seconds

To find: height of the object be after 6 seconds

To find the height of the object be after 6 seconds, substitute t = 6

[tex]h = 120 \times 6 -16(6)^2\\\\h = 720 - 16 \times 36\\\\h = 720 - 576\\\\h = 144[/tex]

Thus height of object after 6 seconds is 144 feet