Projectile motion calculator

Enter your values. The answer and the full worked solution update as you type.

Result

Range38.32 m
Time of flight2.339 s
Maximum height6.707 m

Step-by-step solution

Components

vx = 20·cos 35° = 16.38 m/s
vy = 20·sin 35° = 11.47 m/s

Time to land

0 = h + vy·t − ½gt² → t = 2.339 s

Range and height

x = vx·t = 38.32 m
hmax = h + vy²/(2g) = 6.707 m

Key formulas

Components
vx = v0cos θ, vy = v0sin θ
Position
x = vxt, y = h + vyt − ½gt²
Maximum height
H = h + vy²/(2g)
Range (level ground)
R = v0²·sin 2θ/g

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