Physics

Trajectory Calculator

Find a projectile's position at a given time.

Launch speed

Launch angle (°)

Time

Gravity (m/s²)

Calculated Output

Horizontal position 28.727

Vertical position 13.068

Formula: x = v₀cosθ·t ; y = v₀sinθ·t − ½gt²

Step-by-Step Breakdown

1. Values used:

2. Launch speed = 25

3. Launch angle = 40 °

4. Time = 1.5

5. Gravity = 9.81 m/s²

7. Horizontal position = 28.727

8. Vertical position = 13.068

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The math behind it

x = v₀cosθ·t (constant horizontal speed); y = v₀sinθ·t − ½gt² (gravity pulls it down).

25 m/s at 40°, t = 1.5 s → x ≈ 28.7 m, y ≈ 13.1 m.

When does y become negative?

After the projectile passes its launch height and descends below it.