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Answer:
Please be careful while differentiating the position function.
Given: Position varies with time as per the equation
x = 4/t - t^3 + 3t^4
To find : Velocity of the object after t = 1 sec.
Calculation:
[If x = f(t), then
velocity v = d {f(t)}/dt ]
x = 4/t - t^3 + 3t^4
=> dx/dt = v = -4/(t^2) - 3t^2 + 12t^3
Now putting t= 1
=> v = -4 - 3+ 12
=> v = 5 m/s.
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