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: ___________________________________

2. Acceleration: ___________________________________

3. 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/s**2 How far will the car travel in 4 seconds?

Info: Equation: ___________________________

C. Deriving the 2^nd displacement equation:

· d = v * Dt

· Cross Multiply and gather like terms V_f ² = V_I ² + 2 ad

^{(On the Reference Table)}

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

V. Finding displacement using velocity/time graphs

V (m/s)

· The area under the plot between any two points of interest is equal to the displacement (distance) that occurred during that interval

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