Question

A football is kicked vertically upward from a height of 7 feet with an initial speed of 60 feet per second. The formula h=7+60t - 16t² describes the ball's height above the ground, h, in feet, t seconds after it was kicked. Use this formula to find the ball's height 2 seconds after it was kicked. The ball's height, 2 seconds after it was kicked, was feet.​

Answer 1

Explanation:

To find the ball's height 2 seconds after it was kicked, we can use the formula h=7+60t - 16t², where h represents the height of the ball in feet and t represents the time in seconds.

Substituting t=2 into the formula, we can calculate the ball's height:

h = 7 + 60(2) - 16(2)²

First, let's simplify the expression inside the parentheses:

h = 7 + 60(2) - 16(4)

Now, perform the multiplication:

h = 7 + 120 - 64

Next, perform the addition:

h = 127 - 64

Finally, subtract:

h = 63

Therefore, the ball's height 2 seconds after it was kicked is 63 feet.

Remember, the value of h represents the height above the ground, so the ball would be 63 feet above the ground 2 seconds after it was kicked.