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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?

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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:


h = 120t - 16t^2

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


h = 120 * 6 -16(6)^2\\\\h = 720 - 16 * 36\\\\h = 720 - 576\\\\h = 144

Thus height of object after 6 seconds is 144 feet

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