Time for me to chime in.
We could reverse engineer the speed of any projectile if we have given factors such as mass of the projectile, the angle at which it was thrown (trajectory) and the distance it flew until it hit the ground.
R = MxV@T: Range equals Mass times Velocity at trajectory.
For instance, a ten pound round projectile needs to fly at just over 120 MPH to reach 1,000 feet.
(Am I the only one here who hurls pumpkins?)
If you really want to find out the velocity of your projectile, I suggest asking for help from a local math or science teacher.
If I read what was stated correctly, then 117 MPH for a lead sinker or a golf ball is not unreasonable but fairly good.
Physics rule: a short sling swings faster than a long one.
My rules:
Accuracy beats speed.
Range requires speed and mass.
Hitting your target at any range, priceless.