Answer:

Explanation:
Given:
the displacement as the function of time:

here time is in seconds and the displacement in meters.
Now we differentiate this eq. of displacement to get the equation of velocity:

According to given the velocity is
at some time:


& is the only time for (t>=0) instances when the particle will have a velocity of
but in the opposite direction.
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Let's call a the acceleration of the system. The problem says that the block m3 is static, so the acceleration is zero: a=0.
Calling

the tension of the string between m1 and m3, and

the tension of the string between m2 and m3, the problem can be solved by writing the following system of equations:



However, we know that a=0 and the problem asks only for

, so we just need to solve the first equation:

and so