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?
Responses
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 ball took 5 seconds to hit the ground.
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 height of the ball 5 seconds after it has been thrown.
The height h(5) represents the height of the ball 5 seconds after it has been thrown.
To find out what h(5) represents, we need to plug the value of t=5 into the function h(t)=−16t²+75t and evaluate it.
h(t) = -16t² + 75t
Substituting t = 5:
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. The negative sign indicates that the ball is below the point of release.