a ball is thrown directly upward with a velocity of 40 feet/seconds. its height in feet after t seconds is given by h(t)equals 40t-16t squared
To find the height of the ball after a certain time, you need to plug in the value of "t" into the equation for h(t).
Given the equation h(t) = 40t - 16t², where t represents time in seconds and h(t) represents the height of the ball in feet:
1. Substitute the value of "t" into the equation. For example, to find the height after 3 seconds, substitute t = 3,
h(3) = 40(3) - 16(3)²
2. Evaluate the equation using the value of "t" you substituted in the first step. In our example,
h(3) = 120 - 16(9)
h(3) = 120 - 144
h(3) = -24
Therefore, the height of the ball after 3 seconds is -24 feet. This negative value indicates that the ball has reached its maximum height and is now on its way back down.