Answer :
The position function s(t)m = 0.067t^3 + 2
Calculation
Given that acceleration function a(t) = dv/dt = 0.4t
Then integrating both the side with respect to t, we get
v(t) = 0.2t^2 + C
Then we have that v(0) = 0 so, C = 0
Thus, velocity function v(t) = ds/dt = 0.2t^2
Again, integrating both sides with respect to t, we have
s(t) = 0.067t^3 +D
Given that s(0)= 2, we get D = 2
Thus, the required position function s(t)m = 0.067t^3 + 2
Based on arrival time variations as a function of source-receiver offset for a few reflection events in the gather, velocity functions are computed for selected CMP gathers.
What are the three velocity formulas?
These are the three equations:
v = u + at.
S = ut + 12at2
v2 = u2 + 2as.
What does velocity mean when it depends on position?
The rate of change in position is known as velocity. The displacement of an object is the change in position, or the smallest distance between its initial location and its final position in a given direction.
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