calculus relationships

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Last updated 10:34 PM on 4/23/26
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11 Terms

1
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dp/dt =

F; slope of momentum vs time is force

2
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integral of force versus time is

impulse / change in momentum

3
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-dU/dx =

F; negative slope of potential energy cs position graph

4
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integral of F(x) or force vs position =

work; negative change in potential energy

5
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dW/dt =

power

6
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integral of P(t) or power vs time =

work (energy transferred)

7
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dL/dt (derivative of angular momentum)

= torque

8
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area under graph of torque is

angular momentum

9
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P/v =

Force

10
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slope of energy vs time

= power (power = W / t)

11
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value of dU/dx tells you ___ whereas -dU/dx tells you ___

how steep hill is and which way is “up”; which way the ball would roll