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ACCELERATION: C10,S2 1 ACCLELERATION DEFINITION the rate at which velocity changes (includes: speeding up, slowing down, or changing directions) 2 POSITIVE ACCELERATION Speeding up; also called accelerating 3 NEGATIVE ACCELERATION Slowing down; also called deccelerating 4 CHANGE of DIRECTION Turning, which is a change of direction, is also acceleration 5 FORCE of ACCELERATION • Acceleration is always caused by a force (a push or a pull on something). • For example: A) What force causes a bicycle to stop? o Friction caused by brakes pushing on tires o Friction caused by tires pushing on road 6 FORCE of ACCELERATION, continued… B) What force causes a car to turn? - Friction pushing against the side of the tires. 7 FORCE of ACCELERATION, continued… C) What force causes a rocket to take off? - The force of the exhaust gases pushing out the bottom of the rocket. 8 FORMULA of ACCELERATION SI Units of ACCELERATION 2 m/s m/s/s or or even… km/h/s ** This is because you are dividing speed (m/s or km/h) by time (s) 10 EXAMPLE - #1 0 km/hr 0 sec 5 km/hr 10 km/hr 1 sec 2 sec 15 km/hr 3 sec 20 km/hr 25 km/hr 4 sec 5 sec SOLVE FOR ACCELERATION: The acceleration of a motorcycle is 5 km/hr/sec (every second, the motorcycle will increase its 11 speed by 5 km/hr) EXAMPLE #2 A man jumps from a plane. His beginning speed is 100 km/hr SE (southeast), and his final speed with his parachute is 10 km/hr SE (southeast). This took 3 sec. What was his acceleration? SOLVE FOR ACCELERATION: a = Sf – Ss t a=? Sf= 10km/hr Ss= 100km/hr t = 3s a = (10 km/hr – 100 km/hr) = -90km/hr = -30km/hr/s 3s 3s The negative sign means that he was decelerating (slowing down). 12 ACCELERATION REVIEW #1 1) A change in velocity (or speed) divided by the time it takes for the change to occur equals the object’s _______. 13 ACCELERATION REVIEW #2 2) Imagine yourself driving a car down an empty stretch of road. Describe 3 ways you could you change your acceleration. 14 ACCELERATION REVIEW #3 3) Calculate the acceleration of a bus whose speed changes from 6m/s to 12m/s over a period of 3s. 15 ACCELERATION REVIEW #1 ANSWER: 1) The answer is acceleration. Remember that, like velocity, acceleration has a direction. A car that takes a turn has changed its acceleration, even if nothing else changes. 16 ACCELERATION REVIEW #2 ANSWER: 2) You could step on the gas; you could also step on the brake; you could turn the wheel, or do any combination of these. 17 ACCELERATION REVIEW #3 ANSWER: Calculate the acceleration of a bus whose speed changes from 6m/s to 12m/s over a period of 3s. a = Sf – Ss t a=? Sf= 12m/s Ss= 6m/s t = 3s a = (12 m/s – 6 m/s) 3s = 6m/s = 2 m/s/s 3s 18 PART 2 Interpreting Graphs 19 Reading Graphs of Acceleration • You can represent the acceleration of an object with a speed-time graph • speed is plotted on the vertical axis (y) • time is plotted on the horizontal axis (x) Reading Graphs of Acceleration • An object that is speeding up will have a line that slopes upward (Ex. A) Reading Graphs of Acceleration • An object that is slowing down will have a line that slopes downward (Ex. C) Reading Graphs of Acceleration • A horizontal line represents an acceleration of zero or constant speed (Ex. B) Copy Graph Below and Label ACCELERATION REVIEW #4 4) When reading an acceleration graph, what variable will you find on the yaxis? On the x-axis? HINT: a = Sf – Ss t 25 ANSWER #4 SPEED (y-axis) & TIME (x-axis) a = Sf – Ss t 26 ACCELERATION REVIEW #5 5) What is happening at point A in this speed-time graph? A. the object is speeding up B. the object is slowing down C. the object is at rest D. the object has a constant speed 27 ANSWER #5 Point A = object is speeding up LABEL THIS ON YOUR GRAPH 28 ACCELERATION REVIEW #6 6) What is happening at point B in this speed-time graph? A. the object is speeding up B. the object is slowing down C. the object is at rest D. the object has a constant speed 29 ANSWER #6 Point B = object has a constant speed LABEL THIS ON YOUR GRAPH 30 ACCELERATION REVIEW #7 7) What is happening at point C in this speed-time graph? A. the object is speeding up B. the object is slowing down C. the object is at rest D. the object has a constant speed 31 ANSWER #7 Point C = object is slowing down LABEL THIS ON YOUR GRAPH 32