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?

A. The height of the ball 5 seconds after it had been thrown
B. The final height is 5 feet
C. The ball took 5 seconds to hit the ground
D. The time it takes the ball to reach its maximum point is 5 seconds

1 answer

The function \( h(t) = -16t^2 + 75t \) represents the height of a ball thrown into the air after \( t \) seconds. The expression \( h(5) \) specifically calculates the height of the ball at \( t = 5 \) seconds.

Thus, \( h(5) \) represents:

A. The height of the ball 5 seconds after it had been thrown.

The other options do not accurately describe what \( h(5) \) indicates in this context.