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A particle starts moving along the x-axi...

A particle starts moving along the x-axis from `t=0`, its position varying with time as `x=2t^3-3t^2+1`.
a. At what time instants is its velocity zero?
b. What is the velocity when it passes through the origin?

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To solve the problem step by step, we will follow the instructions given in the question. Given the position function of the particle: \[ x(t) = 2t^3 - 3t^2 + 1 \] ### Part (a): Finding the time instants when the velocity is zero 1. **Find the velocity function**: ...
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