Ask Question
8 March, 15:41

ll of mass m is thrown vertically upward with an initial speed of v0. It experiences a force of air resistance given by F = - kv, where k is a positive constant. The positive direction for all vector quantities is upward. The differential equation for determining the instantaneous speed v of the ball in terms of time t as the ball moves upward is

+1
Answers (1)
  1. 8 March, 19:32
    0
    the diferencial equation is

    dv (t) / dt + (k/m) v (t) + g = 0

    Explanation:

    the differential equation for determining the instantaneous speed can be found from Newton's second law:

    F = m*a

    F drag + F gravity = m*a

    (-k*v) + (-m*g) = m*a, where g is acceleration due to gravitational force

    since a = dv/dt and dividing both sides by m

    dv (t) / dt = - g - k/m v (t)

    or

    dv (t) / dt + (k/m) v (t) + g = 0
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “ll of mass m is thrown vertically upward with an initial speed of v0. It experiences a force of air resistance given by F = - kv, where k ...” in 📙 Physics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers