An object that is launched from the top of the tower is dense enough that air resistance can be ignored. The object's initial velocity has components (vx = 30 m/s, vy = 20 m/s). What are the components of the object's velocity 3 seconds after launch?

The components of the object's velocity 3 seconds after launch are

m/s and m/s.

Explanation:

The given components of initial velocity are

m/s,

m/s.

Assuming the y-axis is along the direction of gravitational force, so, the velocity along the x-axis will remain unchanged.

So, the x-componebt of the velocity after 3 seconds, m/s.

Using the equation of motion along the y-direction, the final velocity, v, of a mass after time, t, having initial velocity, u is

v=u+at

In this case, ( as upward direction is taken as positive)

So, at time, t=3s, the final velocity in y-direction is

So, the y-component of the final velocity is 9.43 m/s in the downward direction.

Hence, the components of the object's velocity 3 seconds after launch are

and .

a and b sometimes have a positive value