Average Speed total distance total elapsed time v = d/t.

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Presentation transcript:

Average Speed total distance total elapsed time v = d/t

Average Speed (When only speeds are known) If only speeds are known, then the average speed is the sum of the speeds divided by the total number of values. FOR EXAMPLE: Find the average speed of 3m/s, 5 m/s and 8 m/s ? Average speed = ( )/3 = 5.33 m/s

Example of Average Speed A track star runs the 5k (5 kilometers) race in 15 minutes (900 seconds). What is the average speed of the runner?

Example of Average Speed A track star runs the 5k (5 kilometers) race in 15 minutes (900 seconds). What is the average speed of the runner? V = total distance /total time

Example of Average Speed A track star runs the 5k (5 kilometers) race in 15 minutes (900 seconds). What is the average speed of the runner? V = total distance /total time V = 5000 m/900 s

Example of Average Speed A track star runs the 5k (5 kilometers) race in 15 minutes (900 seconds). What is the average speed of the runner? V = total distance /total time V = 5000 m/900 s = 5.55 m/s

Instantaneous Speed very short distance very short time v =  d  t

Example of Instantaneous Speed While running a track star covers a distance of one meter in 0.24 seconds. What is his instantaneous speed ?

Example of Instantaneous Speed While running a track star covers a distance of one meter in 0.24 seconds. What is his instantaneous speed ? V = Δd /Δt

Example of Instantaneous Speed While running a track star covers a distance of one meter in 0.24 seconds. What is his instantaneous speed ? V = Δd / Δt V = 1 m / 0.24s

Example of Instantaneous Speed While running a track star covers a distance of one meter in 0.24 seconds. What is his instantaneous speed ? V = Δd / Δt V = 1 m / 0.24s V = 4.17 m/s

Velocity Speed in a particular direction

Acceleration Change in velocity Change in elapsed time a =  v  t

Example of Acceleration A sprinter moves from the starting blocks traveling from rest to 9 meters per second in 1.5 seconds. What is the person’s acceleration ?

Example of Acceleration A sprinter moves from the starting blocks traveling from rest to 9 meters per second in 1.5 seconds. What is the person’s acceleration ? a = V final - V initial t final - t initial

Example of Acceleration A sprinter moves from the starting blocks traveling from rest to 9 meters per second in 1.5 seconds. What is the person’s acceleration ? a = V final - V initial = 9 m/s – 0 t final - t initial 1.5 s – 0

Example of Acceleration A sprinter moves from the starting blocks traveling from rest to 9 meters per second in 1.5 seconds. What is the person’s acceleration ? a = V final - V initial = 9 m/s – 0 = 6 m/s 2 t final - t initial 1.5 s – 0