Can I have help with this word problem?

[oofer]

So I don't really understand this problem and I would like some help.

 

[Steven G]

What don't you understand. The objects goes straight up and then straight down.
Half the time it is going up and the other half of the time it is going down.
You must have been given an equation for these projectile type problems. What is this formula?
You know that the vertical distance from the ground, s(t), satisfies s(4.5) = 101.25 and s(9) =0.

You should know after 7 posts that we do not do problems for students.

Please post back showing your work.

 

[JeffM]

As Jomo says, it would be odd if you were given this problem without being given one of the formulas that the physicists have found experimentally to apply. But suppose you have not. It is plausible to assume that some function of time since firing describes the height.

[MATH]t \le 0 \implies h(t) = WHAT?[/MATH]
[MATH]t \ge 9 \implies h(t) = WHAT?[/MATH]
[MATH]h(4.5) = WHAT?[/MATH]
[MATH]h(t) \ge WHAT?[/MATH]
[MATH]h(t) \le WHAT?[/MATH]
There is at least one more interesting thing that seems plausible about this function given what you know. What is it?

It would be nice to give a formula for the function, but thought will let you say quite a few things about it without a formula.