Motion II Describing Motion u Speed Velocity u

Motion II. Describing Motion u Speed & Velocity u Acceleration u

A. Motion l Motion § Change in position in relation to a reference point. Reference point Motion

How did you determine: the speed of: the cart rolling down the ramp l You or your lab partner running, hopping, walking backwards? l

B. Speed & Velocity l Speed d § rate of motion v t § distance traveled per unit time

B. Speed & Velocity l Instantaneous Speed § speed at a given instant l Average Speed

B. Speed & Velocity l Problem: § A storm is 10 km away and is moving at a speed of 60 km/h. Should you be worried? § It depends on the storm’s direction!

B. Speed & Velocity l Velocity § speed in a given direction § can change even when the speed is constant!

C. Acceleration vf - vi a t l Acceleration § the rate of change of velocity § change in speed or direction a: v f: v i: t: acceleration final velocity initial velocity time

C. Acceleration l Positive acceleration § “speeding up” l Negative acceleration § “slowing down”

D. Calculations Your neighbor skates at a speed of 4 m/s. You can skate 100 m in 20 s. Who skates faster? GIVEN: WORK: l d = 100 m t = 20 s v=? d v t v=d÷t v = (100 m) ÷ (20 s) v = 5 m/s You skate faster!

D. Calculations A roller coaster starts down a hill at 10 m/s. Three seconds later, its speed is 32 m/s. What is the roller coaster’s acceleration? GIVEN: WORK: l vi = 10 m/s t=3 s vf = 32 m/s vf - vi a=? a t a = ( v f - v i) ÷ t a = (32 m/s - 10 m/s) ÷ (3 s) a = 22 m/s ÷ 3 s a = 7. 3 m/s 2

D. Calculations Sound travels 330 m/s. If a lightning bolt strikes the ground 1 km away from you, how long will it take for you to hear it? GIVEN: WORK: l v = 330 m/s t=d÷v d = 1 km = 1000 m t = (1000 m) ÷ (330 m/s) t=? t = 3. 03 s d v t

D. Calculations How long will it take a car traveling 30 m/s to come to a stop if its acceleration is -3 m/s 2? GIVEN: WORK: l t=? vi = 30 m/s vf = 0 m/s a = -3 m/s 2 t = (vf - vi) ÷ a t = (0 m/s-30 m/s)÷(-3 m/s 2) vf - vi a t t = -30 m/s ÷ -3 m/s 2 t = 10 s

E. Graphing Motion Distance-Time Graph A l slope = speed l steeper slope = faster speed B l straight line = constant speed l flat line = no motion

E. Graphing Motion Distance-Time Graph A l l l B l Who started out faster? § A (steeper slope) Who had a constant speed? §A Describe B from 10 -20 min. § B stopped moving Find their average speeds. § A = (2400 m) ÷ (30 min) A = 80 m/min § B = (1200 m) ÷ (30 min) B = 40 m/min

E. Graphing Motion Distance-Time Graph l Acceleration is indicated by a curve on a Distance-Time graph. l Changing slope = changing velocity

E. Graphing Motion Speed-Time Graph = acceleration § +ve = speeds up § -ve = slows down l slope l straight line = constant accel. line = no accel. (constant velocity) l flat

E. Graphing Motion Speed-Time Graph Specify the time period when the object was. . . l slowing down § 5 to 10 seconds l speeding up § 0 to 3 seconds l l moving at a constant speed § 3 to 5 seconds not moving § 0 & 10 seconds