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ArcMatter 3.0
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Motion · Beginner · Real physics

Projectile Motion

Launch an object, follow its trajectory, and explore velocity, gravity, range and height.

WORKED SOLUTION

The maths behind the model

1.Horizontal velocity

vₓ = 25.00 cos(45.00°) = 17.68 m/s

Horizontal velocity is constant without air resistance.

2.Vertical velocity

vᵧ₀ = 25.00 sin(45.00°) = 17.68 m/s

Gravity slows the ascent and accelerates the descent.

3.Time and range

T = 2vᵧ₀/g = 3.60 s; R = vₓT = 63.71 m

These results assume equal launch and landing heights.

Check your answer

At landing, height returns to zero. Changing mass should not change the ideal path.