Tanya kicks a ball into the air. the function that models this scenario is f(t) = –16t2 + 96t, where h is the height of the ball in feet and t is the time seconds.
when will the ball hit the ground?

the ball hit the ground at

Step-by-step explanation:

we have

This is the equation of a vertical parabola open downward

The vertex is a maximum

we know that

The x-intercept of the function is the value of t when the value of h(t) is equal to zero

The ball hit the ground when h(t) is equal to zero

equate the function to zero  and solve for t

Factor the leading coefficient

The solutions are

therefore

the ball hit the ground at

15 units use socratic

step-by-step explanation: 15 units