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Shot Put Ideal-Flight Scenario Calculator

Calculate an ideal no-air-resistance projectile scenario from user-entered speed, angle, and release height. Results are not actual or official shot-put distances.

Published

Ideal constant-gravity scenario only. The result is not an actual or official shot-put distance.

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Enter initial speed, launch angle, and release height. All fields are required.

m/s
°
m

Results update as you type.

Worked example

releaseVelocity: 10 · releaseAngle: 45 · releaseHeight: 2

Result: 11.91 m

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Shot Put Ideal-Flight Scenario Calculator

Explore an ideal projectile-flight scenario from values you enter. This mathematical result is not an actual or official shot-put distance.

Idealized limitation: actual shot trajectories and measured outcomes can differ from this ideal mathematical scenario. Horizontal displacement starts at the release point, not at an official measurement origin.

Updated July 10, 2026.

Inputs and method

  • Initial speed (m/s) is the entered speed at the release point.
  • Launch angle above horizontal (°) is converted to radians by multiplying by π/180.
  • Release height above landing datum (m) is the vertical distance from the release point to the level y = 0 landing datum. Zero is valid; a positive height is included in flight time and apex height.

The scenario starts at x = 0 and the entered release height. It uses conventional standard gravity gₙ = 9.80665 m/s² and assumes a two-dimensional point projectile, uniform downward acceleration, no air resistance, and a level landing datum. Intermediate values are not rounded.

For entered speed v, angle θ, and release height h:

vx=vcos⁡(θ),vy=vsin⁡(θ)v_x=v\cos(\theta),\qquad v_y=v\sin(\theta) t=vy+vy2+2gnhgn,ymax⁡=h+vy22gn,x=vxtt=\frac{v_y+\sqrt{v_y^2+2g_nh}}{g_n},\qquad y_{\max}=h+\frac{v_y^2}{2g_n},\qquad x=v_xt

The positive square-root branch gives flight time to the level landing datum. Each calculated output is rounded independently to two digits after the decimal point. Every positive output below 0.01 displays as less than 0.01 in its unit. Very large finite values use scientific notation with two digits after the decimal point. In copied summaries, entered speed, angle, and height use one digit after the decimal point (including the coefficient in scientific notation), while displacement uses the same two-digit output format.

What the result means

The primary result is ideal horizontal displacement from the release point. You may compare changes among values you deliberately enter only as ideal mathematical scenarios. It does not determine release conditions from an athlete, implement, or technique.

Actual shot trajectories and measured outcomes can differ from this ideal mathematical scenario. For related motion and unit tools, see the relative velocity calculator, the vertical speed calculator, and the acceleration converter calculator.

This calculator is not coaching, training, technique, medical, or safety guidance.

Sources

Related glossary terms

Shot put distance (ideal scenario)

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Frequently asked questions

What does this calculator measure?
It calculates an ideal two-dimensional projectile scenario from the initial speed, launch angle, and release height you enter, using standard gravity of 9.80665 meters per second squared and assuming no air resistance and a level landing datum. The result is not an actual or official shot-put distance.
How is the launch angle used?
The launch angle above horizontal is converted to radians by multiplying by pi divided by 180. The horizontal and vertical components of the entered speed are then used to find flight time, apex height, and horizontal displacement.
Where does the horizontal displacement start?
Horizontal displacement starts at the release point, not at an official measurement origin. The scenario starts at x equals 0 and the entered release height, and each calculated output is rounded independently to two digits after the decimal point.

Sources

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Shot Put Ideal-Flight Scenario Calculator updated at

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