The equation of motion of the body has the form: 3 + 2t-t ^ 2 Write down the equation of speed.


x (t) = 3 + 2 * t – t ^ 2 is the equation of motion of some body.

It is required to determine v (t) – the equation of the speed versus time.

To write the equation of velocity, it is necessary to fulfill the derivative of the first degree of the equation of motion of the body.

From here we find that:

v (t) = x (t) ’= (3 + 2 * t – t ^ 2) = 2 – 2 * t.

Answer: the equation of the dependence of the speed on the body will have the form v (t) = 2 – 2 * t.

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