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PHYS 2211 ABCDE Spring 08
MP19: Force and Motion in 2D
Due at 11:59pm on Sunday, February 10, 2008
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An Object Accelerating on a Ramp
Learning Goal:
Understand that the acceleration vector is in the direction of the change of the velocity vector.
In one dimensional (straight line) motion, acceleration is accompanied by a change in speed, and the acceleration is always
parallel (or antiparallel) to the velocity.
When motion can occur in two dimensions (e.g. is confined to a tabletop but can lie anywhere in the xy plane), the definition of
acceleration is
in the limit
.
In picturing this vector derivative you can think of the derivative of a vector as an instantaneous quantity by thinking of the
velocity of the tip of the arrow as the vector changes in time. Alternatively, you can (for small
) approximate the acceleration
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 Spring '08
 UZER
 Derivative, Vector Space, Acceleration, Force, Velocity

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