WILL MARK BRAINLIEST
Samar serves a volleyball over a net at an initial height of 5 feet with a velocity of 100 feet per second. This can be represented by the function H(t) = −16t2 + 100t + 5. If the other team misses, about how long does it take the ball to hit the ground?
A. 0.05 seconds
B. 1.59 seconds
C. 6.30 seconds
D. 7.89 seconds

Respuesta :

The answer is 6.30 seconds, you can find this by graphing the equation. you can use desmos for help graphing digitally if you have to.

If the other team misses, it takes the ball 6.30 seconds to hit the ground.

How can we find the time taken by the ball to hit the ground?

The time taken by the ball can be calculated by substituting the value of h in the given function.

We can find the time taken as shown below:

The function is H(t) = −16t² + 100t + 5.

Substitute the value of H(t) as 5.

H(t) = −16t² + 100t + 5

⇒ 5 = −16t² + 100t + 5

⇒ −16t² + 100t + 5 - 5 = 0

⇒ −16t² + 100t + 5 - 5 = 0

⇒ −16t² + 100t = 0

⇒ -4t(4t - 25) = 0

⇒ t(4t - 25) = 0

⇒ t = 0, t = 6.25 ≈ 6.30

The correct answer is t = 6.30 seconds. This is because, when t = 0, it means that time has not passed.

Therefore, we have found that if the other team misses, it takes the ball 6.30 seconds to hit the ground.

Learn more about functions here: https://brainly.com/question/25749514

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