When a ball is thrown up into the air, the function h(t) = −16t^2 + 72t
gives the height h
in feet of the ball t
seconds after it has been thrown. What does h(9)
represent? (1 point)
Responses
The ball took 9 seconds to hit the ground.
The ball took 9 seconds to hit the ground.
9 seconds
9 seconds
The time it takes the ball to reach its maximum point is 9 seconds.
The time it takes the ball to reach its maximum point is 9 seconds.
The height of the ball 9 seconds after it has been thrown.
The height of the ball 9 seconds after it has been thrown.
The height of the ball 9 seconds after it has been thrown.
The height of the ball 9 seconds after it has been thrown.
To find out what h(9) represents, we need to substitute t=9 into the function h(t) = -16t^2 + 72t.
Plugging in t=9, we get:
h(9) = -16(9)^2 + 72(9)
Let's simplify the expression:
h(9) = -16(81) + 648
Now, multiply -16 by 81:
h(9) = -1296 + 648
Combine like terms:
h(9) = -648
Therefore, h(9) represents the height of the ball 9 seconds after it has been thrown, which in this case is -648 feet.