Identify the initial conditions y(0) and y'(0) for the vertical motion of an object, if the object is thrown downward at a velocity of 6 m/s from a height of 30m. (take the origin to be on the ground)

Respuesta :

Answer:

The right solution is "y(0) = 30 m" and "y'(0) = -6 m/s²".

Step-by-step explanation:

Given,

Velocity,

u = -6 m/s

Height,

h = 30 m

Now,

By using shifting of origin, we get

⇒  [tex](y-30)=-6t+\frac{1}{2}(-9.8)t^2[/tex]

       [tex]y-30=-6t-4.9t^2[/tex]

               [tex]y=30-6t-4.9t^2[/tex]

hence,

The value of y(0) is:

y(0) = [tex]30-0-0[/tex]

      = [tex]30 \ m[/tex]

The value of y'(0) is:

y'(t) = [tex]-6-9.8t[/tex]

y'(0) = [tex]-6 \ m/s^2[/tex]