Question

A softball player hits the ball. The height of the ball h (in feet) at any time t seconds after the hit will be represented by the quadratic function h(t)=42t‒6t2. Use what you have learned about the zeros of a quadratic function to determine which of the following statements is true.

A. The ball will reach the ground in 3.5 seconds.
B. The ball will get to its highest point in 7 seconds.
C. The ball will stay in the air for a total of 7 seconds.
D. The highest the ball will go is about 7 feet.

Answer 1

h(t)=42t‒6t^2

When the height is 0, h(t) = 0.

42t - 6t^2 = 0

Now we solve for t.

6t^2 - 42t = 0

6t(t - 7) = 0

t = 0 or t - 7 = 0

t = 0 or t = 7

The height is zero at time zero and and time 7 seconds.

Answer is C.

Answer 2

I think the answer is D. Not sure