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# Motion L1

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### Motion L1

1. 1. Motion By Nico Vaunois 2011
2. 2. Distance and Displacement  Distance is the measure of the total length of the path taken during the change of position of an object  Distance is a scalar quantity  Displacement is the measure of the change of position of an object  Displacement is a vector quantity
3. 3. Speed and Velocity  Speed is the measure of rate of the distance covered  Speed is a scalar quantity Distance covered Speed (m/s) = (m) Time taken (s)  Velocity is the measure of rate of displacement of an object  Velocity is a vector quantity Displacement Velocity Time taken =
4. 4. Scalars and Vectors  Scalars are quantities that have a size (or magnitude) only  Vectors are quantities that have a size and a direction
5. 5. d Speed Distance Time s t  We can calculate the speed of a moving object using the equation : Average Speed = Distance covered Time taken s = d t  Because distance is measured in metres (m) and time in seconds (s), the S.I. unit for speed is metres per second (m/s or m s-1) Distance covered Speed (m/s) = (m) Time taken (s)
6. 6. Acceleration Δv a Δt  Acceleration is the rate of change of speed Acceleration = Change in Velocity Change in Time Δv a = Δt  Because speed is measured in metres per second (m s1) and time in seconds (s), the S.I. unit for acceleration is :  metres per second squared (m/s/s or m s-2) Change in velocity (m Acceleration (m s-2) s-1) Change in time = (s)
7. 7. Distance – Time graph Speed – Time graph Distance (m) Distance (m) Time (s) Time (s) Speed (m/s) Speed (m/s) Time (s) Distance (m) Distance (m) Speed (m/s) Time (s) Time (s) Time (s) Speed (m/s) Time (s) Time (s)
8. 8. Distance – Time graph Distance (m) Time (s)  On a distance time graph, the slope or gradient of the line represents the speed of the object at the time  Steeper slope  Greater gradient  Greater speed  No slope  gradient = 0  No speed  No movement  Curved line  change in gradient  change in speed
9. 9. Speed – Time graph Speed (m/s) Time (s)  On a speed time graph, the slope or gradient of the line represents the acceleration of the object at the time  No slope  gradient = 0  No acceleration Constant speed  Steeper slope  Greater gradient  Greater acceleration  On a speed time graph, the area under the graph represents the distance covered
10. 10. Velocity - time graphs • Distance and displacement can be found from a velocity - time graph by velocity + Area 1   Area 1 + Area 2 = Distance Area 1 – Area 2 = Displacement Area 2 time
11. 11. Distance – Time graph Speed – Time graph Distance (m) Time (s) Speed (m/s) Time (s)
12. 12. d Speed Distance Time s t  We can calculate the speed of a moving object using the equation : Average Speed = Distance covered Time taken s = d t  Because distance is measured in meters (m) and time in seconds (s), the S.I. unit for speed is meters per second (m/s or m s-1) Distance covered Speed (m/s) = (m) Time taken (s)
13. 13. Δv Acceleration a Δt  Acceleration is the rate of change of speed Acceleration = Change in Speed Change in Time Δv a = Δt  Because speed is measured in meters per second (m s1) and time in seconds (s), the S.I. unit for acceleration is :  meters per second squared (m s-1 /s or m s-2) Change in speed (m Acceleration (m s-2) s-1) Change in time = (s)
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