• Distinguish between linear, angular, and general motion
• Define:
  • Distance and displacement
  • Average speed and average velocity
  • Instantaneous speed and velocity
• Name units of measurement for above definitions
• Use equations of motion for projectiles

Kinematics is the branch of dynamics concerned with the description of motion.

Ben Johnson versus Carl Lewis
Data from 1998 Olympic Games

Linear motion
Angular Motion
General Motion

Animation of linear and angular motion

Is a runner 40 m from the start or 60 m from the finish?

Where does the tighthead prop and hooker line up in rugby union?

x, y, z, rotationx, rotationy, rotationz

Slope of a position-time graph

Comparing position and velocity graphs

SPEED vs VELOCITY


Marathon speed
What was a marathon runner's average speed in finishing the 42.2 km race in 2 hours 11 minutes?

A rowing shell was progressing across stream in the Willamette River at 8 mph relative to the water, while the river was flowing at 6 mph. What was the velocity of the shell with respect to the bank?
Pacing Example

What about changing speeds and velocities?


What does this imply for running around a curve?
Is someone accelerating when running a constant speed around a curve?

Shot Put Example
Position-Time Data

Velocity-Time Data

Handout with example questions

Slope of velocity-time graph equals acceleration

Displacement with intial velocity and with constant acceleration
d=v_it + 0.5at²

Bobsled Example

Cavanagh, P.R. & Kram. R. (1989). Stride length in distance running: velocity, body dimensions, and added mass effects.

What is the average speed if you run a kilometer at 5 m/s and then walk a kilometer at 1 m/s ? (Note: 3 m/s is not correct.) Solution

A Projectile is any body that has been set on its path by some force and continues in motion by its own inertia. (Gravity has a major effect on motion).







Examples of Projectiles include: Arrow, Basketball, Shotput, Human Body,Tigers

Let's begin simply with purely vertical motion

Now let's add horizontal motion

Horizontal and vertical components are independent

Equations of motion for projectiles

Characteristics of projectiles

Demonstration on what happens as initial conditions are altered

Another projectile cartoon

Things get more complex when takeoff and landing heights are different


Shot Put Example