IV. Motion Equations for Problem Solving

 

When an object is moving at a constant acceleration we can use the following equations to find motion information

 

A. Equations on the Reference Table              (Mechanics Section)

 

1. Average velocity:  ___________________________________    

 

 

  1. Acceleration:         ___________________________________

 

           

  1. Displacement:    ___________________________________

 

 

B. The other equations on the reference table are derived from the equations above

 

·        Take Equation 3 and solve for d

 

·        Substitute Equation 1 into previous equation

·        Cross multiply equation 2 and you'll find ____________________

 

·         

 

 

·        Substitute  =

 

 

4.                                                                     (On the Reference Table)

 

B. Solving Word Problems with this equation

 

ex) A car accelerates uniformly from rest at a rate of +10 m/s2 How far will the car travel in 4 seconds?

 

Info:                                                           Equation:

 

 


 

 

 

 

 

C. Deriving the 2nd displacement equation:                     

 

·        d = vDt

 

  

 

·        Cross Multiply and gather like terms         _____________

                          (On the Reference Table)

Example) A car with an initial velocity of +6m/s accelerates at a rate 2 m/s2.  Find the cars final velocity after it travels 7 m from its initial position.

 

 

 

 

V. Finding displacement using velocity/time graphs



·        The _________ under the plot between any two points of interest is equal to

 

 

Ex.) What is the displacement this object covered from t = 0 to   t = 6 sec?