Projectile Motion

Split motion into components: x has a = 0, y has a = −g.

Initial speed (ms⁻¹)

20.001 → 100

Launch angle (°)

45.000 → 90

Time t (s)

0.000 → 2.88 s

auto-fit axes (keep off to keep changes in speed easy to see)

Trajectory

Range ≈ 40.77 m • Max height ≈ 10.19 m • Time of flight ≈ 2.88 s

Components (initial)

uₓ

14.14 m/s

uᵧ

14.14 m/s

aₓ

0 m/s²

aᵧ

−9.81 m/s²

At time t = 0.00 s

0.00 m

0.00 m

vₓ

14.14 m/s

vᵧ

14.14 m/s

SUVAT used (with this setup)

x-direction (a = 0)
 s = ut + ½at² → x = uₓ t
 v = u + at → vₓ = uₓ
y-direction (a = −g)
 s = ut + ½at² → y = uᵧ t − ½ g t²
 v = u + at → vᵧ = uᵧ − g t
 v² = u² + 2as → vᵧ² = uᵧ² − 2g y