When a ball is thrown up into the air, the function h(t) = −16t2 + 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 height of the ball 9 seconds after it has been thrown.
The height of the ball 9 seconds after it has been thrown.
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 ball took 9 seconds to hit the ground.
The height of the ball 9 seconds after it has been thrown.
h(9) represents the height of the ball 9 seconds after it has been thrown.
To find what h(9) represents, we need to substitute 9 into the function h(t).
The function h(t) = -16t^2 + 72t gives the height of the ball in feet t seconds after it has been thrown.
Substituting t = 9 into the function:
h(9) = -16(9)^2 + 72(9)
Simplifying the expression inside the parentheses:
h(9) = -16(81) + 72(9)
h(9) = -1296 + 648
h(9) = -648
Therefore, h(9) represents the height of the ball 9 seconds after it has been thrown, which is -648 feet.