Can someone answer this easy phsyics problem about vertical height

[Casey314stl]

Homework Statement

A basketball player achieves a hang time of 0.978 s in dunking the ball.
What vertical height will he attain? The
acceleration of gravity is 9.8 m/s^2

Answer in units of m

Homework Equations

?

The Attempt at a Solution

9.8/0.978^2= 10.245

Homework Statement

Homework Equations

The Attempt at a Solution

 

[DaveC426913]

Yes. You can.

We do not (can not) do homework for you. Show your work, we can help.

 

[Casey314stl]

The attempt at a solution 9.8/0.978^2= 10.245

 

[mtayab1994]

The attempt at a solution 9.8/0.978^2= 10.245

Remember that H=.5gt^2

Retry and see what you get.

 

[Casey314stl]

Yes. You can.

We do not (can not) do homework for you. Show your work, we can help.

I tried H=.5*g*t^2 and got 4.68677?

 

[Casey314stl]

22.9653?

 

[mtayab1994]

I tried H=.5*g*t^2 and got 4.68677?

Remember that time going up = time coming down .

 

[mtayab1994]

22.9653?

No since t(up)=t(down)

then: H=.5g*(t/2)^2

 

[Casey314stl]

Remember that time going up = time coming down .

what?

 

[Casey314stl]

No since t(up)=t(down)

then: H=.5g*(t/2)^2

Thanks a lot I got it but why is it half time^2?

 

[mtayab1994]

When you have the time going up = time going down, then you have: t(up)=t(down)=.978/2

I'm helping you too much.

 

[Casey314stl]

When you have the time going up = time going down, then you have: t(up)=t(down)=.978/2

I'm helping you too much.

I already got the the answer from the last response I was just wonder why it was half the time^2 if that was for every problem for this equation or just if an object is traveling up?

 

[mtayab1994]

I already got the the answer from the last response I was just wonder why it was half the time^2 if that was for every problem for this equation or just if an object is traveling up?

Well since he is jumping upwards he only takes half of the time to get to his maximum height. Therefore the rest of the time is spent coming down. Hence no need for the time coming down.