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# Velocity, speed and acceleration of a vector-valued function

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Find the velocity, speed and acceleration of the vector-valued function:

Vector r = cost i + sint j - 16t^2 k at t=pi/4

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The velocity, speed and acceleration of a vector-valued function are determined.

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SOLUTION

Given vector : r = cost i + sint j - 16t2 k

We assume the unit of displacement r as meters and time t as sec.

To determine velocity, speed and acceleration at t = Π/4.

a) Velocity is defined as the ...

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