A ball is thrown into the air with an upward velocity of 28 ft/s. Its height (h) in feet after t seconds is given by the function h = –16t² + 28t +
To find the height of the ball at a given time, you can use the equation h = -16t² + 28t + c, where h represents the height, t represents the time in seconds, and c represents a constant related to the initial height.
However, in your question, the equation is incomplete as there is no constant term (c) provided. Without it, we cannot determine the initial height or the full equation for the ball's height.
If you are given the complete equation, you can plug in the value of t to find the corresponding height of the ball. Just remember to substitute the correct value for all the variables (h, t, and c) in the equation.
For example, if you were given the equation h = -16t² + 28t + 10, and you wanted to know the height of the ball after 3 seconds, you would substitute t = 3 into the equation and solve for h:
h = -16(3)² + 28(3) + 10
= -16(9) + 84 + 10
= -144 + 84 + 10
= -144 + 94
= -50
Therefore, the height of the ball after 3 seconds would be -50 feet.