By what law does the speed of an object change if the law of motion y = 2in (x) + 4x-1

univerkov | September 3, 2021 | education

Let x = t be the time of movement, then:

y (t) = 2 * ln t + 4 * t – 1.

Our task is reduced to finding the dependence of the speed on time from the known dependence of the path on time.

To do this, find the time derivative of the path:

y ‘(t) = 2 * 1 / t + 4 = 2 / t + 4,

or:

y ‘(x) = 2 / x + 4.

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