The function h(t)=−16t2+75t represents the height of a ball thrown up into the air after t seconds. What does h(5) represent?
The time it takes the ball to reach its maximum point is 5 seconds.
The time it takes the ball to reach its maximum point is 5 seconds.
The final height is 5 feet.
The final height is 5 feet.
The height of the ball 5 seconds after it has been thrown.
The height of the ball 5 seconds after it has been thrown.
The ball took 5 seconds to hit the ground.
The height of the ball 5 seconds after it has been thrown.
The correct answer is: The height of the ball 5 seconds after it has been thrown.
To find out what h(5) represents in the given function h(t)=−16t^2+75t, we substitute t=5 into the equation.
h(5) = −16(5)^2 + 75(5)
= −16(25) + 375
= -400 + 375
= -25
Therefore, h(5) represents the height of the ball 5 seconds after it has been thrown. In this case, the height is -25 feet.