How to Calculate Time it Takes for an Object to Fall or Reach the Top of an Arc

[engstudent363]

If I'm given that someone releases a ball at x distance away from the ground how do you calculate how long it takes to fall?

Another problem I have is finding the amount of time it takes to get to the top of an arc after you've thrown a ball and you're given the distance it is from the release to the top of the arc.

Both these problems assume 9.8m/s^2 acceleration.

 

[mgb_phys]

In your textbook there are three equations for the motion of objects.

v = u + a t
v^2 = u^2 + 2 a s
s = ut + 1/2 a t^2

Use the one with the variables you know.
If you don't have a textbook there is a sticky thread at the top of this forum which describes all this very carefully.