Unit 1 Motion in Two Dimensions Motion in

Unit 1 Motion in Two Dimensions

Motion in 2 Dimensions � Uniform motion is the simplest motion to analyze, however is not as common as nonuniform motion

Resultant Displacement in 2 D � Ex: a boy walks home from his home 1. 7 km [E], and then 1. 2 km [S] to get to his hockey arena. His total or resultant displacement is shown below: Instead of a vector scale diagram, you can use Pythagorean Theorem & Trigonometric ratios (SOH CAH TOA) to figure out missing sides and angles

Resultant Displacement in 2 D � Ex: A cyclist travels 5. 0 km[E], 4. 0 km[S], and then 8. 0 km[W]. Draw a vector scale diagram to help determine total displacement.

Average Velocity in 2 D � The average velocity in 2 D is total displacement over total time elapsed � Since more than one displacement is involved in 2 D, the resultant displacement (vector) is used to calculate average velocity

Practice � Ex: After leaving the huddle, the receiver of a football team runs 8. 5 m[E] waiting for the ball to be snapped. He then turns abruptly and runs 12. 0 m[S] to receive a pass. He runs 13. 5 m[W] before being tackled. A) Draw a vector scale diagram of the situation

Practice (continued) � B) If the entire motion takes 7. 0 s, determine the receiver’s average velocity. (You will need to find the resultant/total displacement)

More Practice � A student starts at the most western point of a circular track with a circumference of 200 m. She runs all the way around the track in 26. 0 s. A) Determine the student’s average speed. B) Determine the student’s average velocity.

Even More Practice �A ball rolling with initial velocity of 40 m/s[W] undergoes an acceleration of 5. 0 m/s 2 [N] for a period of 6. 0 s. A) What is the final velocity of the ball after 6. 0 s? B) What is the displacement of the ball after 6. 0 s?