Use the following to answer the next three questions: the height, h, of a ball t seconds after it is released for a jump shot in a basketball game can be modeled with the equation h = −16t2 + 12t + 8.
The rim of the basket is 10 feet high. Which of the following is the correct way to set up the problem to solve when the ball reaches this height?
10=16t^2+12t+8
To solve when the ball reaches the height of the rim, which is 10 feet, we can set up an equation where the height of the ball is equal to 10 feet.
Using the given equation h = -16t^2 + 12t + 8, we can substitute the height with 10 feet:
10 = -16t^2 + 12t + 8
This equation represents the relationship between time (t) and the height (h) of the ball. By solving this equation, we can find the time at which the ball reaches a height of 10 feet.