Answer:
Step-by-step explanation:
When a ball is thrown upward, its height can be determined using the following equation:
h(t) = h0 + v0t - 16t^2
Where:
- h(t) represents the height of the ball at time t,
- h0 is the initial height at t = 0 (in this case, the cliff's height of 100 ft),
- v0 is the initial velocity of the ball (in this case, 40 ft/sec),
- t is the time in seconds.
Substitute the given values into the equation:
h(t) = 100 + 40t - 16t^2
So, the equation for the height of the ball after t seconds is h(t) = 100 + 40t - 16t^2.
