Derek kicks a soccer ball off the ground and in the air, with an initial velocity of 31 feet per second. using the formula h(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches? (5 points) 14.2 feet 14.6 feet 15.0 feet 15.3 feet

General Idea:

If we have a quadratic function of the form , then the function will attain its maximum value only if a < 0 & its maximum value will be at .

Applying the concept:

Comparing the function with the given function, we get, and because initial height of the ball s will be 0.

The maximum height of the soccer ball will occur at

The maximum height is found by substituting in the function as below:

Conclusion:

The maximum height the soccer ball reaches is 15.0 feet approximately!

the answer is a

step-by-step explanation: