Recent content by Magic Johnson

  1. M

    Equation for upward motion of the particle with air drag

    My guess is Fnet = -Fweight - Fdrag = m ⋅ dv/dt -m ⋅ g - k ⋅ v² = m ⋅ dv/dt dv/(k / m ⋅ v² + g) = -dt Notice that ∫1/(1 + x²)dx = atan(x) Then v(t) = √( g ⋅ m / k ) ⋅ tan( -t ⋅ √( g ⋅ k / m )) assuming initial velocity is 0
Back
Top