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Acceleration. Velocity – Time Graphs. Acceleration:. Rate at which the velocity increases or decreases Units: m/s 2 or km/h 2 or km/h/s. Velocity-Time Graphs:. Constant velocity Acceleration = 0m/s 2 Uniform Motion. Increasing velocity Acceleration constant Non-uniform Motion.
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Acceleration Velocity – Time Graphs
Acceleration: • Rate at which the velocity increases or decreases • Units: m/s2 or km/h2 or km/h/s
Velocity-Time Graphs: • Constant velocity • Acceleration = 0m/s2 • Uniform Motion • Increasing velocity • Acceleration constant • Non-uniform Motion v (m/s) v (m/s) t (s) t (s) Area Under the Curve = Displacement Slope = Acceleration
Ex #1 The following shows the motion of a car. v (m/s) 40 30 20 10 t (s) 5 10 15 20 What is the displacement of the car? 400m What is the acceleration of the car? 2m/s2 Is this an ex. of uniform motion? No
What is the displacement of the runner? Ex #2 132m What is acceleration of the runner from 4s to 10s? The following graph shows the motion of a cross-country runner training for a race. 0m/s2 What is acceleration of the runner from 10s to16s? -2m/s2 Slows down/deceleration OR Acceleration in opposite direction
Ex #3 – 60m What is the displacement of the cyclist from the 12th to 20th second? The graph below represents the velocity of a cyclist. 20m 80m
Ex #4 A Camaro can go from 0km/h [N] to 100km/h [N] in 5.3s. What is the acceleration?
Ex #5 Jamaican sprinter Usain Bolt ran the 100m at an average velocity of 37km/h in 9.69s at the Beijing Olympics. What was his average acceleration?
Ex #6 Five seconds later the ball is rolling down the hill with a velocity of 1.5m/s[S]. A boy rolls a ball up a hill giving it a velocity of 4.5m/s[N]. Must consider direction!!! What is the ball’s acceleration?
Homework: pg 213 #1 pg 215 #1-4 pg 217 #2 pg 218 #1