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4 Fundamental Quantities and Units Fundamental QuantityMKS Unit * Length(Meters) * Mass(Kilograms) * Time(Seconds)

5 Motion QuantitySymbolDefinitionUnits Distancedm

6 Motion The symbol “Δ” means “Change in” QuantitySymbolDefinitionUnits Distancedm Speedvd/Δtm/s

7 Motion The symbol “Δ” means “Change in” QuantitySymbolDefinitionUnits Distancedm Speedvd/Δtm/s AccelerationaΔv/Δtm/s 2

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9 The speed changes by 4 m/sec every second

10 After 1 sec v = 7 m/sec

11 After 1 sec v = 7 m/sec After 2 sec v = 11 m/sec

12 After 1 sec v = 7 m/sec After 2 sec v = 11 m/sec After 3 sec v = 15 m/sec

13 Motion Relationships If a = 0 d = vt If a ≠ 0 d = ½ a t 2

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17 Motion An object is thrown vertically upward from the surface of the earth in the absence of air resistance. Note: this can be accomplished, for example, in an experimental facility from which the atmosphere has been removed. 1. What is the acceleration of the object on its way up? 2. What is the acceleration of the object on its way down? 3. If the object is thrown vertically, it will stop at the highest point in its motion. What is the acceleration of the object at the moment that it stops?

18 Motion Air Hockey There is no friction between the puck and the table surface

19 Motion Free Fall Tower Drop distance - dd yHeight above base - y 100 m Assumption: No air resistance

20 Motion 1. Assume the air hockey puck moves with an initial speed of 10 m/s. What is its position (assume it starts a 0 m) after 1 s, 2 s, 3 s, 4 s and 5 s? 2. Assume the Free Fall Tower is 100 m high. What is the drop distance and the height above the base after 1 s, 2 s, 3 s, 4 s and 5 s? Assume g = 10 m/s 2.

21 Motion Can be a combination

22 Motion Can be a combination d = ½ a t 2

23 Motion Can be a combination d = ½ a t 2 d = v t