a soccer ball is kicked with an initial velocity of 5.0 m/s in a direction of 30 degrees above the horizontal

a. what are the initial components of the velocity?
vix=
viy=
b. what are the components of the veloicty just before the ball hits the ground?
vx=
vy=

vix = 4.33

viy = 2.5

vx = 4.33
viy = -2.5

vix= 5 * cos(30)
viy= 5 * sin (30)

vx= the same because no force is acting on it
vy= -viy because nature of parabolic motion and ball is travelling down

To answer this question, we need to break down the initial velocity into its horizontal and vertical components.

a. Initial components of the velocity:
The initial velocity of the soccer ball has two components: one in the horizontal direction (vix) and one in the vertical direction (viy).

To find the initial horizontal component (vix):
vix = initial velocity * cos(angle)
vix = 5.0 m/s * cos(30 degrees)

To find the initial vertical component (viy):
viy = initial velocity * sin(angle)
viy = 5.0 m/s * sin(30 degrees)

b. Components of the velocity just before the ball hits the ground:
Assuming no air resistance, the horizontal component of the velocity remains the same throughout the motion. However, the vertical component changes due to the effect of gravity.

The horizontal component of velocity (vx):
vx = vix (same as the initial horizontal component of velocity)

The vertical component of velocity (vy):
Just before the ball hits the ground, the vertical component of velocity will be the negative of the initial vertical component because the ball is falling downward due to gravity.

vy = -viy (negative of the initial vertical component of velocity)

Therefore, to calculate the components of the velocity just before the ball hits the ground, you can use the known values from the previous calculations.