The document discusses kinematic equations, which describe motion without considering its causes. It presents four equations that can be used to determine unknown values like velocity, acceleration, displacement, and time, given other known values. These equations can model constant velocity or constant acceleration motion. Examples show how to apply the equations to calculate final velocity, distance traveled, initial velocity, and other values in scenarios involving cars, kicked balls, sledding, and road rage.

1. The Kinematic Equations

2. Kinematics
• Describes motion without regard to
what causes it.
• Uses equations to represent the motion
of an object in terms of acceleration
(a), velocity (v), displacement (d) and
time (t).

3. Kinematic Equations
• The kinematic equations are a set of
four equations that can be utilized to
predict unknown information about an
object's motion if other information is
known.
• The equations can be utilized for any
motion that can be described as being
either a constant velocity motion (an
acceleration of 0 m/s/s) or a constant
acceleration motion.

4. Equation Symbols

5. Equations
vf = v0 + at d = (vf + v0)t
2
d = v0t + ½at2 vf
2 = v0
2 + 2ad

6. Example One:
• If a car’s initial velocity is 25 m/s, and
it accelerated at a rate of 7.5 m/s2 over
a period of 8.0 seconds what is the
car’s final velocity?

7. Example Two:
• If a kicker boots the ball at a velocity of
45 m/s and it is aided by a gust of wind
to accelerate at 2.5 m/s2 and it stays in
the air for 3.5 seconds. How far will the
ball travel?

8. Example Three:
• A boy sledding down a hill has an initial
speed of 12m/s. He continues to speed
up and reaches a final velocity of 18m/s
after traveling for 12 seconds. What
distance does the boy travel?

9. Example Four
• Mr. Billante is notorious for his road rage.
After being cut off he accelerates at a rate of
12.3 m/s2 for 455 m. As he approaches the
man who cut him off his final velocity is a
ludicrous 125 m/s. What was his initial
velocity?