A marble is flicked straight up. It takes 2.3 seconds to reach its maximum height. How long does it take it to return to its original height. Assume there is no air resistance

totally lost.
if i had velocity, or some other variable i would know what to do. all i know is travel time and gravity

also, i have gotten this far, assuming that my teacher wants us to pursue this route,

then what i have done is multiplie 2.3(t)*9.8(g)
which would give me an initial velocity of JUST enough to travel for 2.3s before beginning the return
is it really this simple??

for objects in free fall

... time up equals time down

decelerating on the way up
... accelerating on the way down

yes ... this is a simple "trick" question

To find the time it takes for the marble to return to its original height, we can make use of the fact that the total time for the upward and downward journey is the same, neglecting air resistance.

Since it takes 2.3 seconds for the marble to reach its maximum height, we know that the time it takes for the upward journey is half of that time, or 2.3/2 = 1.15 seconds.

Now, the time it takes for the marble to fall back to its original height is the same as the time it took to go up, so it is also 1.15 seconds.

Therefore, it takes 1.15 seconds for the marble to return to its original height after being flicked straight up.