Question

The motion of a particle moving in one dimension is defined as \(t = x \sqrt{1 - x}\) where 'x' is the distance covered, and 't' is the time.
Find its maximum and minimum velocity.

Answer 1

@ParthKohli - here we are then, just like the old times.

Answer 2

Okay, so do you have any idea about the maxima and minima thingy that we were talking about?

Answer 3

Yes.

Answer 4

So how do I start?

Answer 5

@apoorvk

Answer 6

What exactly is\[\dfrac{d}{dt} x^2\]? I know that\[\dfrac{d}{dt}x = v\]

Answer 7

The graph of any v-t curve: