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

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.

  1. 2.71 m/s
  2. 5.00 m/s
  3. 10.0 m/s
  4. 1.35 m/s

Answer

A. 2.71 m/s

Solution

v=20e-0.5(4)=20e-2 2.71 m/s.

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