The function h(t)=−16t^2+75t
represents the height of a ball thrown up into the air after t seconds. What does h(5)
represent?
Responses
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 final height is 5 feet.
The final height is 5 feet.
The height of the ball 5 seconds after it has been thrown.
The correct response is:
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 understand why, let's break down the function h(t)=−16t^2+75t. In this equation, t represents the time in seconds, and h(t) represents the height of the ball in feet.
When we substitute t=5 into the equation, we get h(5)=−16(5)^2+75(5). By calculating this expression, we find h(5)=−400+375=−25.
Therefore, h(5) represents the height of the ball 5 seconds after it has been thrown, which in this case is -25 feet.