Raylin went to the park with her friends and found a soccer ball. She picked up the soccer ball and kicked it as high as she could. The path of the ball can be represented by h= -16t2 +27t+3 What is the maximum height of the soccer ball?

How long will it take the ball to reach the ground?

The maximum height is:  

The ball reaches the ground in 1.79 s.

Step-by-step explanation:

We need to take the derivative and equal to zero to find the time at the maximum height.

(1)

Now, we just need to put t(max) into equation (1) to find h(max)

If we want to get the time when the ball reaches the ground we just need to equal h(t) to zero.

Let's solve this quadratic equation.

We will get two solutions and we must choose the positive value.

t1 = 1.79 u

t2 = -0.10 u

Therefore, the ball reaches the ground in 1.79 u.

I hope it helps you!    

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