Marsha hits a tennis ball upward from the top of a 90 foot high cliff with an initial velocity of 16 ft/s. Marsha hit the ball when it was 6 ft. above the top of the cliff.

a. assume that the tennis ball will hit the ground below the cliff. Determine the equation for the height of the ball after t-seconds. Hint: If the initial height is 6 feet, how would you write a distance 90 feet below that height? Would you want to use the equation
h(t)=-16t^2+vt+h?

assuming the ground level below the cliff to be zero

I would say:

h(t) = -16t^2 + 16t + 96

8.95 seconds

Yes, you would want to use the equation for the height of the ball after t seconds, which is given by:

h(t) = -16t^2 + vt + h

Where:
h(t) is the height of the ball after t seconds,
t is the time in seconds,
v is the initial velocity of the ball (16 ft/s in this case),
h is the initial height of the ball (6 feet in this case).

In this scenario, the initial height of the ball is 6 feet above the top of the cliff, so the starting value for h(t) will be 90 - 6 = 84 feet (since the height of the cliff is 90 feet).

Therefore, the equation for the height of the ball after t seconds is:

h(t) = -16t^2 + 16t + 84