A kicker kicks a football during practice. The equation below can be used to find the height (h) in feet after t seconds.

h(t)=-16t^2+96t

After how many seconds will the ball hit the ground?

A. 6
B. 7
C. 96
D. 0

My answer is B, is this correct?

well, plug in t=7.

-16*49 + 96*7 = -112

You must be guessing, not calculating.

When the ball hits the ground, its height is zero, right?

Note that

h(t) = -16t(t-6)

Now, when is h=0?

To find the time when the ball hits the ground, we need to determine the value of t when the height h(t) becomes 0. Let's set h(t) equal to 0 and solve for t:

-16t^2 + 96t = 0

We can factor out a common factor of -16t:

-16t(t - 6) = 0

Now we can set each factor equal to zero and solve for t:

-16t = 0 --> t = 0

t - 6 = 0 --> t = 6

So, the ball will hit the ground at t = 0 seconds (initially) and t = 6 seconds.

Therefore, the correct answer is D) 0, which indicates that it hits the ground at the starting point.

To determine when the ball will hit the ground, we need to find the value of t where the height (h) equals 0. Therefore, we can set the equation h(t) = -16t^2 + 96t equal to 0 and solve for t.

-16t^2 + 96t = 0

Now we can factor out a common factor of t:

t(-16t + 96) = 0

Setting each factor equal to 0:

t = 0 or -16t + 96 = 0

The first solution, t = 0, indicates the initial position of the ball when it was kicked. However, we are interested in the time it takes for the ball to hit the ground after being kicked, so the correct answer must be the second solution.

Solving -16t + 96 = 0 for t:

-16t = -96
t = -96 / -16
t = 6

Therefore, the ball will hit the ground after 6 seconds.

So, the correct answer is A. 6.