Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground? 1 s 2 s 3 s 4 s

It will take 2 seconds for the object to hit the ground.

Given that,

Britney throws an object straight up into the air with an initial velocity of 27 feet/sec.

From a platform that is 10 feet above the ground.

Formula; ,

Where is the initial velocity and is the initial height.

We have to determine,

How long will it take for the object to hit the ground.

According to the question,

Formula;

Where,

Substitute the values in the given formula,

When the point the object hits the ground, h(t) become 0,

Then,

For the quadratic equation solution is determined by the formula.

Where, a = -16, b = 27, c = 10

Substitute all the values in the formula;

Time can not be negative. so, x = -0.3125 rejected.

Hence, It will take 2 seconds for the object to hit the ground.

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Question:

Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?

1s   2s   3s   4s

It takes 2 seconds for object to hit the ground

Solution:

The given equation is:

Initial velocity = 27 feet/sec

Therefore,

At the point the object hits the ground, h(t) = 0

Solve by quadratic formula,

Ignore, negative value

Thus, it takes 2 seconds for object to hit the ground

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