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Kinematics: Distance, Displacement, and Average Velocity

Learn the concept of distance, displacement, and average velocity in kinematics. Explore the difference between vectors and scalars. Calculate average speed, displacement, and velocity in various scenarios.

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Kinematics: Distance, Displacement, and Average Velocity

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  1. Do Now • Calculate the average speed

  2. Aim: How can we identify distance & displacement? Convert 3.4x10-5 Gigavolt to volts. Convert 9.0 grams to milligrams.

  3. Introduction to Kinematics • Kinematics is a branch of physics which deals with the motion of an object without reference to the forces which act on the system. (velocity, speed, acceleration, distance, displacement)

  4. Terminology • All quantities in physics are classified under two categories: vectors and scalars. • Vector – a quantity that has both magnitude and direction. • Velocity, acceleration, displacement, force. • Scalar – a quantity that has ONLY magnitude. • Speed, distance, mass, time.

  5. Situation • Imagine taking a trip to buffalo. Describe some ways to measure how far you traveled. • Use some system of measurement (feet, inches, meters, furlongs, etc) to determine how far you have traveled. • Use some system of measurement to determine how far you are from where you started. • Are they the same??

  6. Distance – is the total length of a path that an object travels. • Scalar quantity, units meters (m). • Displacement – is a change in a position from its starting point to its end point. [straight line path]** • Vector quantity, units meters (m).

  7. Aim: How can we apply the average velocity formula? • List four vectors and scalars. • Explain the difference between a vector and a scalar. • Dr. House limps 15 meters west then 4 meters east then 9 meters west. A) Calculate his total distance traveled. B) Calculate his total displacement.

  8. Speed and Velocity • Speed • Units (meters per second) m/s • Velocity • Units (meter per second) m/s • Velocity is a vector!!!!!!

  9. Examples • A car travels between the 50-meter and 150-meter markers on a highway in 10 seconds. Calculate the average speed of the car.

  10. A car travels 100 meters north in 10 seconds and then travels 20 meters south in 2 seconds. • A) Calculate the average velocity. • B) Calculate the average speed. • C) Compare A and B.

  11. The two average velocity formulas….

  12. Example • A ball starting at rest rolls down a 4 meter ramp. At the end of the ramp the ball’s speed is 25 meters per second. Determine the average velocity.

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