Projectile Motion Calculator (Range, Height, Time) (embed)

Launch speed v0 (m/s)Launch angle (degrees above horizontal)Launch height h (m)0 means launched from the landing level

horizontal range (R)

35.35 m

Time of flight: 2.04 s. Maximum height: 5.10 m. No air resistance; g = 9.8 m/s^2.

Steps

1.v0x = v0 cos(theta) = 20 m/s x cos(30) = 17.32 m/s; v0y = v0 sin(theta) = 20 m/s x sin(30) = 10 m/s
2.t = (v0y + sqrt(v0y^2 + 2 g h)) / g = (10 + sqrt(10^2 + 2 x 9.8 x 0)) / 9.8 = 2.04 s
3.R = v0x x t = 17.32 m/s x 2.04 s = 35.35 m
4.H = h + v0y^2 / (2 g) = 0 + 10^2 / (2 x 9.8) = 5.10 m

Range and peak drawn to scale, no air resistance. Want to set angle and speed by hand? drag the full simulator.

PhysicsLearn · Projectile Motion Calculator (Range, Height, Time), free to use