AS Mechanics: 11 Variable Acceleration Flashcards

1
Q

What does an increasing exponential on a velocity-time graph show?

A

Increasing acceleration.

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2
Q

What does a decreasing exponential on a velocity-time graph show?

A

Decreasing acceleration.

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3
Q

How can you find the velocity of a displacement, s, expressed as a function of time, t?

A

Differentiate it.

v = ds/dt

(as the gradient of a displacement-time graph is the velocity)

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4
Q

How can you find the acceleration of a velocity, v, expressed as a function of time, t?

A

Differentiate it.

v = dv/dt

(as the gradient of a velocity-time graph is the accleration)

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5
Q

How can you find the acceleration of a displacement, s, expressed as a function of time, t?

A

Find the second derivitive.

v = dv/dt = d²s/dt²

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