# Newton’s Second Law of Motion

Jun 17th, 2015
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The acceleration produced by particular force acting on a body is directly proportional to the magnitude of the force and inversely proportional to the mass of the body –translated from the Principia’s Latin. Base on ordinary experience, you can tell how a force exerted on a body affects its motion.

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accelerationExample 1:A car accelerates from rest to a speed of 36 km/h in 20 seconds. What is the acceleration of the car in m/s2? Solution:The initial velocity is 0 (from rest) and the final velocity is 36 km/h. Henceaverage acceleration = 36 km/h - 020 seconds= 36 km/h20 secondsWe now convert 36 km/h into m/s as follows36 km/h = 36 * 1000 m / 3600 s = 10 m/sHenceaverage acceleration = 10 m/s20 seconds= 0.5 m/s2Example 2:A car slows down from a speed of 72 km/h to rest in 25 seconds. What is the acceleration of the car in m/s2? Solution:The initial velocity is 72 km/h and the final velocity is 0 (rest). Henceaverage acceleration = 0-72 km/h25 seconds= -72 km/h25 secondsWe now convert 72 km/h into m/s as follows36 km/h = 72 * 1000 m / 3600 s = 20 m/sHenceaverage acceleration = - 20 m/s25 seconds= -0.8 m/s2Example 3:A plane has a take off speed of 300 km/h. What is the acceleration in m/s2of the plane if the plane started from rest and took 45 seconds to take off? Solution:The initial velocity is 0 (from rest) and the final velocity is 300 km/h (take off). Henceaverage acceleration = 300 km/h - 045 seconds= 300 km/h45 secondsWe now convert 300 km/h into m/s as follows300 km/h = 300 *

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