The movement of a material point is given by the equation x = 2t + 5t ^ 2 find the initial speed.

x (t) = 2 * t + 5 * t ^ 2 – the equation of body motion;

It is required to determine the initial velocity V0.

The general equation of motion looks like this:

X (t) = V0 * t + a * t ^ 2/2.

Substituting the known values, we get:

2 * t + 5 * t ^ 2 = V0 * t + a * t ^ 2/2.

V0 = 2 m / s.

Answer: the initial speed is 2 m / s.



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