Is s= s(t) and |s| is equal to a constant, then ds/dt=0 and why or why not, im not grasping the concept.?

Answer 1

if |s| is a constant, that means that s either a positive number or a negative number, i.e. s is also a constant, and
the derivative of any constant is = 0

Answer 2

the derivative of a constant is zero
JUST KNOW IT

a constant is unchanging, thats why they call it a constant

derivative is the rate of change, no change, no rate-> rate=0

remember limits? lim x->oo (x+h,....blah blah blah,

when you plugin values for this, the numerator is 0

Answer 3

If s is differentiable, it's continuous. And if it's continuous and has absolute value = to a constant, it's actually constant itself. (Graph it -- all possible points lie on two horizontal lines. If it's continuous, they in fact all lie on one of those lines.)

And if it's constant, its derivative is zero.