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Learn and apply various concepts and calculations in physics, including metric conversions, scientific notation, graphing, vector analysis, and velocity calculations.
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Are you able to ……..? (use the checklist as a resource) • Recognize metric prefixes and convert between metric measurements • Use scientific notation in mathematical solutions (multiplying, dividing and complex problems) • Convert between scientific notation and standard form • Convert between measurement systems efficiently (dimensional analysis) • Match basic graph shapes to equations • Find slope of a line (best fit or constant slope) • Find area under a “curve” • Identify the meaning of slope or area based on matching equation • Distinguish between vector and scalar quantities • Determine the resultant or equilibrant of two or more vectors using head to tail or parallelogram method • Determine the magnitude of the resultant or equilibrant of two perpendicular vectors using Pythagorean Theorem • Determine the direction of the resultant of two perpendicular vectors using inverse tangent. • Find the horizontal and vertical components of a vector using trigonometry • Use vocabulary terms vector, scalar, resultant, equilibrant, displacement, velocity, acceleration • Recognize units for displacement, velocity/speed, acceleration and force • Determine the speed of an object based on the distance/displacement vs. time object • Determine acceleration of an object of based on the velocity versus time graph UNIT ONE REVIEW
1. The “Supersonic skateboard” on the Jeston’s can go 1000 miles in 1000 milliseconds. What is the speed of the skateboard in miles per hour? In meters per seconds? 2. George Jetson travels 15km to work at Spacey Sprockets in 60 seconds. What is his average speed to work in meters per second? d= 1000 mi t = 1000 ms t = 1 seconds d =15 km d =15,000m t =60s
3. Rosie the robot has wheels that are perpendicular to each other but she can move in any direction according to the speed of each wheel. She can do this because of a pre-programmed vector program. • a)Find her resultant movement for each combination of motion. (include angle relative to east) • i) 5 m/s east, 8 m/s south • ii) 6 m/s west, 4 m/s north • iii) 11 m/s west, 6 m/s south 9.4m/s @ 3020 OR 580 below x axis 3600 – 580=302 33.70 above x in Q2 7.2m/s@146.3 12.52m/s@208.60
3b) Find the x velocity and y velocity for each of the following motions. • 7 m/s at an angle of 45 degrees • vx=v cosӨ vy=vsin Ө • = 7m/s cos 450 = 7m/s sin 450 • vx = 4.95 m/s vy=4.95m/s • ii) 14 m/s at an angle of 135 degrees • = 14m/s cos 1350 = 14m/s sin 1350 • vx = -9.9 m/s vy=9.9m/s • iii) 20 m/s at an angle of 250 degrees • = 20m/s cos 250o = 20m/s sin 2500 • x=-6.84m/s = -18.8 m/s
4. George Jetson is riding on a moving sidewalk that has a speed of 4 m/s left when he realizes he is late and he begins running left at a speed of 1m/s. What is his resulting speed? 4m/s 1m/s 5m/s 5. George is riding on a moving sidewalk at 6 m/s east when he sees Mr. Spacely, his boss waiting for him 30m in front of him. He turns around and runs away at a speed of 3 m/s to the west. What is his resultant speed? After 5 seconds how far will he be from Mr. Spacely? v= 3 m/s 6m/s t= 5 s d=vt 3m/s 3m/s d= (3m/s)(5 s) d= 15 m
6. Jane is moving at 5 m/s on a conveyor belt moving east while on a large rocket ship going 10 m/s upward. What is her resultant velocity? 7. Elroy’s pod moves toward the Little Dipper School at a speed of 40 m/s at an angle of 60o below the horizontal. Find the vertical or horizontal component of the “pods” motion. 11.2m/s 11.2m/s@63.430 vx=40m/s(cos300)= 20m/s vx vy=40m/s(sin300)= -34.6m/s vy 40m/s @600
8. The diagram below show Elroy’s displacement vectors as he walks about school. Which shows the equilibrant of Elroys trip? Resultant a) c) b) d) Equilibrant
9. The following data were collected for the initial horizontal and vertical speed of Elroy’s toy rocket launched at different speeds from the same angle. a) At vix=30m/s what is viy? Initial horizontal and vertical velocity of rocket viy=21m/s b) What is the resultant launch velocity of the rocket? c) What is the launch angle of the rocket?
10.The graph below shows Astro’s motion as he plays a game of fetch with his favorite toy. a) Maximum displacement? 60m b) Total displacement? 0m c) Total distance? 120m d) Intervals for same speed but different velocity? 20-40s & 60 to 80s e) Speed from graph? slope
10. The signal from a remote control held by George at work travels a distance of 4 km to Rosie at home with a speed of 3 x 108m/s. How much time does it take for the message to be received? (answer with correct scientific notation or correct metric prefix) = 4000m 4x103 m/ 3 x108 m/s =1.33 x10-5 s d = 4 km v = 3x108m/s OR =13.3μs
y=mx2 So graph suggests Lbs=exercise2 So the next step is to calculate new column x2 or exercise2 and graph against lbs of food
a) Draw the graph of Fc vs. r b) Draw the graph of Fc vs. v c) Draw the graph of Fc vs. v
At any point is George stopped? • b) During what time frame is George speeding up? • c) During what time frame is George slowing down? • d) What variable is represented by the slope of the line? No, he always has velocity 5-8 second 10-20 seconds acceleration
3 x 15=45 ½ (3)(15)=22.5 1/2(8)15=60 5x17.5=87.5