A particle is moving along x axis such that its position with time as x=t^3-3t^2+5t+7 then find position and speed when speed of particle become minimum

Answer 1

It is like finding the minima and extrema of a function. You first differentiate to find the speed, and then equate it to zero to find the values of time for which speed is minimum. Then, you use the values you have found by substituting them into the original expression for it's position to find the values for the minimum position.