Engineering Board Exam Reviewer · Applications: Newton's Second Law and Motion · medium

An object falls from rest with air resistance according to dv/dt=9.8-0.2v. Find the terminal velocity as t ∞.

  1. 49 m/s
  2. 9.8 m/s
  3. 24.5 m/s
  4. 98 m/s

Answer

A. 49 m/s

Solution

At terminal velocity, dv/dt=0: 9.8-0.2v=0 v=49 m/s.

More Applications: Newton's Second Law and Motion questions

  1. A boat decelerates due to water resistance according to dv/dt=-0.5v, with initial velocity 20 m/s. Find the velocity after 4 seconds.
  2. A 5 kg object is subject to a net force F=10-2v (N), where v is velocity in m/s. Using Newton's second law, find the terminal velocity.
  3. A particle of mass 2 kg moves under a force F=6t (N), starting from rest. Using F=mdv/dt, find the velocity at t=3 s.

All Applications: Newton's Second Law and Motion questions