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: ___________________________________
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?