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The position of a particle is given by x = A cos (wt + @), where w, and @ are constants. Find velocity at any time t.

The position of a particle is given by x = A cos (wt + @), where w, and @ are constants. Find velocity at any time t.

Grade:11

1 Answers

AskiitianExpert Shine
10 Points
11 years ago

Hi

x = A cos(wt + @)
Now, velocity is defined as dx/dt

this means that to get the velocity, we will have to differentiate the term on the right side :
A = constant
d(cos at)/dt = -a sin at

This implies v = -Aw sin (wt + @)

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