Question

What value of t is the velocity greatest?

Answer 1

Answer:

t = 1

Step-by-step explanation:

the greatest velocity could be reached:

v' = 0

12 - 12t =0

or 12t =12

t = 12/12

t = 1

Answer 2

v=12t-6t^2

Find derivative of v

$\\ \sf\longmapsto \dfrac{dv}{dx}$

$\\ \sf\longmapsto \dfrac{d}{dx}12t-6t^2$

$\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}$

$\\ \sf\longmapsto 12-12t$

Let it be 0

$\\ \sf\longmapsto 12-12t=0$

$\\ \sf\longmapsto 12=12t$

$\\ \sf\longmapsto t=\dfrac{12}{12}$

$\\ \sf\longmapsto t=1s$