CalcGospel 國際數學圖譜

Motion Components Lab

Two independent components. One motion.

Drag the green target, then launch. Right and up are positive.

Ready to launch.

● Resultant v● Horizontal vₓ● Vertical vᵧ

Velocity arrows have a separate scale from position.

Time / s 0.0
Horizontal velocity / m s⁻¹ 0.0
Vertical velocity / m s⁻¹ 0.0
Speed / m s⁻¹ 0.0
Horizontal displacement / m 0.0
Height / m 0.0

Resolve, then combine

vx=ucos⁡θv_x=u\cos\theta
vy=usin⁡θ−gtv_y=u\sin\theta-gt
x=(ucos⁡θ)tx=(u\cos\theta)t
y=12+(usin⁡θ)t−12gt2y=12+(u\sin\theta)t-\tfrac12gt^2
v=vx2+vy2v=\sqrt{v_x^2+v_y^2}

No air resistance · g = 9.8 m/s² · Launch height = 12 m · Horizontal acceleration = 0