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Physics Unit One. Motion. Motion. Any change in the position of an object. Can be completely described with speed and direction. The distance an object travels per unit of time. s = d / t Units - any distance over any time. Ex. m/s, km/hr, cm/s, etc…. Speed PLUS direction.
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Physics Unit One Motion
Motion • Any change in the position of an object. • Can be completely described with speed and direction.
The distance an object travels per unit of time. s = d / t Units - any distance over any time. Ex. m/s, km/hr, cm/s, etc… Speed PLUS direction. A vector quantity (magnitude + direction) v = d / t, direction Units – any distance over any time, plus, direction. Ex. 6.5 cm/s, due north Speed vs. Velocity
5-Step Method for Solving Problems A cat can run 5.0 meters in 3.25 seconds. What is the cat’s average speed? d = 5.0 m t = 3.25 s s = d / t s = 5.0m / 3.25s s = 1.54 m/s
Velocity Sample Problem • A tennis ball flies off the end of a racket and travels 10.0 meters in 0.95s. What is the velocity of the tennis ball? d = 10.0 m t = 0.95s v = d / t v = 10.0m / 0.95s v = 10.53 m/s, across the net
d vs. t graphs • Graph the motion • use the slope to interpret the relationship between the variables (d & t) ΔY rise d = = = = Slope Speed run ΔX t *steeper the slope faster the speed *more gentle the slope slower the speed
When interpreting the motion answer: • As time goes by, distance (d or ) • The line shows relationship (constant or changing) d d d d t t t t • Moving forward (d) • No motion (d stays same) • Moving backward (d) • Moving forward (d) • Constant speed (straight) • Constant speed (straight) • Constant speed (straight) • Changing speed (curved) • 0 m/s • positive acceleration
d d d t t t • Moving forward (d) • Moving backward (d) • Moving backward (d) • changing speed (curved) • changing speed (curved) • changing speed (curved) • (-) acceleration • (-) acceleration • (+) acceleration
AB • Move forward • Constant speed • ΔY 10m 1m/s = = 10s ΔX BC • At rest • Constant speed • 0m/s
CD • Moving backward • Constant speed • ΔY 5m 1m/s = = ΔX 5s DE • Moving forward • Changing speed • (+) acceleration
EF • Moving backward • Constant speed • ΔY 25m 5m/s = = ΔX 5s FG • Moving forward • Constant speed • ΔY 10m 2m/s = = ΔX 5s GH • Moving forward • Constant speed 12.5m • ΔY = 1m/s = ΔX 12.5s
Which line had the fastest speed? • EF • Steepest slope Distance increases? • Moving forward Distance decreases? • Moving backward Straight line? • Constant speed Curved line? • Changing speed d vs. t graph shows? • Speed and direction
Unit 1 Physics Acceleration
Acceleration • Any change in velocity (speed or direction) of an object a = vf - vi t a = acceleration vf = final velocity vi = initial velocity t = time
Example:A runner increases her speed from 3m/s to 10m/s in 2 seconds. Calculate her rate of acceleration. vf = 10m/s vi = 3m/s t = 2s a = vf - vi t a = 7m/s 2s a = 10m/s - 3m/s 2s a = 3.5m/s2 She gets 3.5m/s faster every second. 0s = 3m/s 1s = 6.5m/s 2s = 10m/s
a = 0km/hr - 88km/hr 4s Example: A car goes from 88km/hr to stopped in 4s. vf = 0km/hr vi = 88km/hr t = 4s a = -22km/hr s a = -88km/hr 4s a = vf - vi t The car gets 22km/hr slower every second. 0s = 88km/hr 2s = 44km/hr 4s = 0km/hr 1s = 66km/hr 3s = 22km/hr
When interpreting the motion answer: • As time goes by, velocity (v or ) • The line shows relationship (constant or changing) v v v v t t t t • Constant • acceleration • 0m/s2 • Constant • negative • acceleration • Constant • positive • acceleration • Changing • positive • acceleration • Constant speed
v v v t t t • Changing • positive • acceleration • Changing • negative • acceleration • Changing • negative • acceleration
AB • Constant (+) acceleration 10m/s - 0m/s = 10s 10m/s 1m/s2 = 10s BC • Constant speed • 10m/s • Constant acceleration 0m/s2
CD • Constant (-) acceleration 5m/s - 10m/s = 5s -5m/s -1m/s2 = 5s DE • Changing (+) acceleration
EF • Constant (-) acceleration 0m/s - 25m/s = 5s -25m/s -5m/s2 = 5s FG • Constant (+) acceleration 10m/s - 0m/s = 5s 10m/s 2m/s2 = 5s
GH • Constant (+) acceleration 22.5m/s - 10m/s = 12.5s 12.5m/s 1m/s2 = 12.5s
The car accelerated, stayed at the same speed, slowed down for light, light turns & quickly accelerates, slams on the brakes to stop for red light, quickly accelerates, continues at slower acceleration