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v0t + ½ at 2 Δv = at 3 vf = v0 + 2aΔx 4 vave = Δx/t 5 vave = (v0 + vf)/2

Chapter 2 (pdf) - Planet Holloway

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original direction of movement are listed then as positive and all th<strong>at</strong> point the<br />

opposite direction are listed as neg<strong>at</strong>ive.<br />

For example, when a ball is thrown up, we say the original velocity (which is<br />

upward) is positive and the acceler<strong>at</strong>ion due to gravity is neg<strong>at</strong>ive (because it<br />

always points down.<br />

Some things to remember:<br />

On a position vs. time graph, the slope of a section or point is the velocity. The<br />

steeper the slope, the gre<strong>at</strong>er the velocity. When the slope is positive, the velocity is<br />

positive and when the slope is neg<strong>at</strong>ive, the velocity is neg<strong>at</strong>ive.<br />

On a velocity vs. time graph, the slope of a section or point is the acceler<strong>at</strong>ion. The<br />

steeper the slope, the gre<strong>at</strong>er the acceler<strong>at</strong>ion. When the slope is positive, the<br />

acceler<strong>at</strong>ion is positive and when the slope is neg<strong>at</strong>ive, the acceler<strong>at</strong>ion is neg<strong>at</strong>ive.<br />

On an acceler<strong>at</strong>ion vs. time graph, the area under the curve is the change in velocity<br />

of the object. If the area is above the x axis, then the change is positive and if it is<br />

under the x axis, the change is neg<strong>at</strong>ive. For the total change for a given interval,<br />

simply add the areas (both positive and neg<strong>at</strong>ive).<br />

On a velocity vs. time graph, the area under the curve is the change in position or<br />

displacement of the object. The conditions are the same as above.

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