during each cycle, the velocity v (in meters per second) of a robotic welding device is given by v=9t-2/9+t^2, where t is time in seconds. find the expression for the displacement s (in meters) as a function of t if s=0 when t=0.

Step-by-step explanation:

Given the equation of velocity w.r.to time 't':

Formula for Displacement:

So, if we find integral of velocity w.r.to time, we will get displacement.

Here, C is constant (because it is indefinite integral)

Formula for integration used:

Now, it is given that s = 0, when t = 0.

Putting the values in equation (1):

So, the equation for displacement becomes:

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