X(0)=2м; V(x)=3м/с; X(t)=?

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вопрос

To find the position function X(t), we need to integrate the velocity function with respect to time t.

Given that V(x) = 3 m/s, we have dx/dt = 3 m/s.

Integrating dx/dt gives us x(t):

x(t) = ∫ 3 dt = 3t + C

We also know that x(0) = 2 m. Substituting this value into the equation, we have:

2 = 3(0) + C

C = 2

Therefore, the position function X(t) is:

X(t) = 3t + 2

So, X(t) = 3t + 2.