Distance, Speed, Acceleration, and Graphs Lucas Thornton, Annwhitney McCombs, Daniel Armao, Alana Eastling Period 1 Quarter 3 Scalar- A quantity consisting of a magnitude (numerical value) only. Vector- A quantity described by a magnitude and a direction. Also, the bad guy from Despicable Me. Scalars and Vectors Distance- If you don’t know what distance is, you’re in need of more help than we can provide. It’s a scalar quantity that refers to how much ground an object has covered during its motion. Displacement- How far out of place an object is (Vector) This roller coaster covers distance. Has no displacement, because it ends in the same place it starts. Distance and Displacement Speed- How fast and object moves. (Scalar) Velocity-The rate at which an object changes its position. (Vector) You have a cool car, but it’s not this cool. Velocity = distance/time Average velocity = Displacement/ti me Speed and Velocity Instantaneous speed-The speed at any given instance. Average speed-The average of all instantaneous speed (distance/time ratio). What? You can’t expect a cool picture on every slide. Instantaneous vs. Average Speed Acceleration-The rate at which an object changes its velocity. (Vector) Acceleration = Δvelocity Time Dr. Nefario’s scooter gives him very little acceleration. Acceleration (What’s that? Yes, every slide has to do with Despicable Me.) Graphing? More like Gruphing, amirite? Graphing Distance Yeah, they don’t get it either. Graphing Velocity Minions are easily excited. Graphing Acceleration 1) A quantity with both direction and magnitude is a ________. a. Scalar b. Vector c. Magnitude d. Distance 2) Scalar or Vector? a. 6 cm b. 300 m/sec e. 30 degrees Celsius f. 10 m c. 25 mi North d. 50 mi/h West 3) Which vector quantity is the measure of how far an object has moved from its original position? a. Distance b. Displacement 4) What is the equation for calculating the average velocity of an object? a. distance / time c. displacement / time b. distance / speed d. displacement / speed 5) How far can a bus travel in 6 hours at an average speed of 50 miles per hour? 6) What is the acceleration of a car going from rest to 80 miles per hour in 6 seconds? 7) What does the graph of constant velocity look like? a. an increasing diagonal line c. a straight line b. decreasing diagonal line d. a curved parabola 8) What does the graph of constant acceleration look like? a. an increasing diagonal line c. a straight line b. a decreasing diagonal line d. a curved parabola 9) If a cheetah runs at 40 m/s, how long will it take the cheetah to run a 100-m dash? 10) What is the equation for the acceleration of an object? a. velocity / time c. change in speed / time b. speed / time d. change in velocity / time 11. If a runner can average 4 mph, can he complete a 100-mile ultramarathon in less than 22 hours? 12. A dog running in the park ran 40 meter to his owner in 8 seconds. What was the dogs velocity? Review Questions 1) B 2) a. scalar, b. scalar, c. vector, d. vector, e. scalar, f. scalar 3) B 4) C 5) 300 miles 6) 13.3 miles / sec2 7) C 8) A 9) 2.5 seconds 10) D 11) no, he needs at least 25 hours 12) 5 m/s Answers
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