ODK - Kinematic Equations

Kinematic Equations

The mathematical definition of velocity and acceleration are used to derive four kinematic equations.   Motion problems could be solved without these four equations, but you would, in effect, be deriving them every time a problem was being solved.   The equations deal with five variables: displacement , initial velocity, final velocity, acceleration, and time.   Each equation requires three known variables in order to solve for the fourth.   However, variables will sometimes be given as statements, not as number values.   For example, a problem may indicate that an object starts from rest.   This statement gives the value of the initial velocity as being equal to zero, starts from rest.   As long as the proper direction for each variable is indicated by a positive or negative sign, the equations can be used to calculate the variables correctly.   It is very important to remember that these equations can only be used in instances where the acceleration is constant.   Please watch the presentation on the kinematic equations. The presentation may take a few moments to load.

Kinematic Equations Practice

Kinematics Equations Self-Assessment

Now it is your turn. Complete the self-check questions to verify that you understand how to solve problems dealing with objects moving in one dimension under constant acceleration. 

  1. A jet plane approaches a landing strip that is 2000 m long.  The maximum acceleration of the plane is -25m/s2.  
  1. What is the maximum speed that the plane can have when it hits the runway? SOLUTION Links to an external site.
  2. Links to an external site.How long will it take to come to a stop? SOLUTION Links to an external site.
  1. A motorcycle is traveling at 20m/s. The driver decides to accelerate for 175 m. If the maximum acceleration of the motorcycle is 3.5 meters per second squared.
  1. How long will it take to cover the 175 m? SOLUTION Links to an external site.
  2. Links to an external site.What will be the final velocity of the motorcycle at the end of the 175 m? SOLUTION Links to an external site.
  1. A rock is thrown upward with an initial velocity of 15 m/s, it is allowed to fall into a hole and lands with a final velocity of -28 m/s.
  1. What was the displacement of the rock? SOLUTION Links to an external site.
  2. Links to an external site.How long was it in the air? SOLUTION Links to an external site.

Kinematics Equations Practice Problems

Download more Kinematics Equations Problems.

Download Solutions to practice problems. 

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