volume and distance calculating

Question

If  and , then . true or false?

Answer 1

Instead of calling displacement "d", let's call it "x" to avoid confusion:

By the way, the "v" in this equation is velocity (as opposed to volume).

v = dx/dt

(velocity is the instantaneous change in displacement with respect to time)

So to get velocity from displacement, take the derivative of displacement with respect to time.

For x(t) = 4t + 5, taking the derivative with respect to time gives us:

dx/dt = 4

or v(t) = 4

This is NOT the same as v(t) = 2t² + 4 so FALSE