How do I measure my shot put when it lands up hill?

Question

Could i have a formula for measuring the correct distance of my shot put when I am throwing it up hill?


I throw my shot put up a medium slope and therefor it lands quick than it would on flatground. I have a measure that measures in feet if I would need that for the formula.

If there is an easier way than the formula please tell me, Thanks.

Answer 1

if you want to know exactly how far you are going to have to use a long drawn out equation, but if you are just doing this in your back yard there is a simple way to determine about how far it went....measure the distance from where you threw it to where it landed=a, next measure how high up from the ground you threw it...by using one of those level things with the bubble you can find a parrallel plane...that distance will =b
now a^2+b^2=c^2 c is you distance

Answer 2

An easier way is to always do your shot puts on perfectly level ground.

There is a formula, but it requires one to know the initial velocity at which the ball is released, the angle at which it is released and the time that the ball was in flight. How would you measure these items accurately? I don't think you have the equipment to do it. Therefore the formula is useless if you cannot feed it accurate data. Garbage in, Garbage out.

Go find some level ground.

Answer 3

Have someone time you when you throw it (on level ground) to get the time in flight and the distance covered; from those you can derive the ballistic function.
Measure the slope and come up with a function that approximates the slope.
Solve the system of equations to find where the ballistic arc meets the slope.

Or, just find some flat ground.

Answer 4

From where you are standing measure up the hill where the ball landed. Once you do that see what the elevation change is from where the ball was thrown to where it landed. Once you have that you will be able to use Pyth. Theo. a^2+b^2=c^2.

You will have the values for a (change in elevation) and c (distance up the hill). Algebra will get you to the value of b which will provide your horizontal distance.