The displacement of a particle on a vibrating string is given by the equation s(t) = 2 + 1 5 sin(2πt) where s is measured in centimeters and t in seconds. Find the velocity of the particle after t seconds. v(t) = cm/s

Step-by-step explanation:

The velocity of the particle is equal to the derivative of the displacement, so:

Now, the derivative of s(t) is equal to:

Because we use the following properties:

If , then

If , where a is a constant

If , then

If , then

Where f(t), g(t) and h(t) are functions of t.

So, the velocity of the particle after t seconds is equal to:

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

12.4, 12.387, 12.26, 12.252, 6.241, 6.2, 6.015, 6.009, 1.411, 1.2, 1.056, 1.007, 0.31,   0.13, 0.5, 0.04

step-by-step explanation:

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