Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function f(x) = -16t2 + 96t gives the height, in feet, of the soccer ball after t seconds. This function is shown in the graph below.

How long will it take for the ball to hit the ground? Write your answer as an integer.

It will take the ball 6 seconds to give the ground. What you do here is you have to find a C term which since the term A is greater than 1 you will use the form C= b^2/4. The C term is 2,304. After you will have to divide and square root in the order that it’s goes remember if you get a negative time can’t be negative so you will have to use the positive answer that it gives you. Hopes this helps :)

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kumaripoojavt kumaripoojavt · Answer 2 · 2022-08-06T18:15:53+02:00

The ball will come to ground after 6 seconds.

We have a function of time given by -

f(x) = [tex]-16t^{2} +96t[/tex]

that gives the height of the ball in feet at ' t ' second.

We have to find out after how much time the ball will hit the ground.

In the question given to us above, the type of motion discussed is called ?

The type of motion discussed in the above question is a two - dimensional projectile motion.

We have - h(t) = f(x) = [tex]-16t^{2} +96t[/tex]

Now, in order to find out the time at which the ball will hit the ground again, we will equate h(t) = f(x) = 0

[tex]-16t^{2} +96t=0\\-16t(t - 6)=0\\-16t =0\;\;\;\;\;\;t -6 = 0[/tex]

Now, time can never be 0.

Hence -

t - 6 = 0

t = 6 seconds.

Hence, the ball will come to ground after 6 seconds.

To solve more questions on projectile motion, visit the link below -

https://brainly.com/question/12496840

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