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Projectile Motion Calculator
Explore an ideal projectile path without air resistance. Change launch speed, angle, starting height and gravity to see how the motion changes.
How do you calculate projectile motion?
Resolve launch speed into horizontal and vertical components. Gravity changes only vertical speed in this model. The calculator solves when the projectile returns to the selected zero-height level, then reports flight time, horizontal range, peak height and impact speed.
Frequently asked questions
How do you calculate projectile motion?
Resolve launch speed into horizontal and vertical components. Gravity changes only vertical speed in this model. The calculator solves when the projectile returns to the selected zero-height level, then reports flight time, horizontal range, peak height and impact speed.
Are my launch values uploaded?
No. The calculation and trajectory animation run in this browser; values are not uploaded or saved.
What is the projectile motion formula?
With no air resistance and constant gravity, x(t)=v₀ cos(θ)t and y(t)=h₀+v₀ sin(θ)t−gt²/2. This page solves the positive time when y returns to zero.
How do launch angle and initial height affect range?
The angle changes horizontal and vertical launch speed. A higher starting point keeps the projectile in flight longer, so the same speed and angle can travel farther before reaching the landing level.
Does a 90-degree vertical launch have a range?
In this ideal model, a vertical launch has no horizontal velocity, so its horizontal range is zero. It still has a flight time and a maximum height.
Does this calculator include air resistance?
No. It is the introductory constant-gravity point-mass model. Real trajectories can differ because of drag, wind, lift, spin, shape and changing conditions.