Find Max Height for Basketball Throw: Is 9.8 Correct?

[wadini]

Wrongly called for a foul, an angry basketball player throws the ball straight down to the floor if the ball bounces straight up and returns to the floor 2.8 s after first striking it, what was the ball's greatest height above the floor?

I keep getting the wrong answer I am plugging in (9.8)(1.4)(.5)(1.4)^2(9.81)

Am I anywhere close?

 

[LowlyPion]

Wrongly called for a foul, an angry basketball player throws the ball straight down to the floor if the ball bounces straight up and returns to the floor 2.8 s after first striking it, what was the ball's greatest height above the floor?

I keep getting the wrong answer I am plugging in (9.8)(1.4)(.5)(1.4)^2(9.81)

Am I anywhere close?

Welcome to PF.

Well ... looks like a few too many factors to have the right answer.

You know the time and so 1/2 will be time to max height ... you got that part.

But the distance it will fall in 1.4s is really given a bit more simply by

y = 1/2*g*t²