Posted by **elana** on Sunday, October 17, 2010 at 6:40pm.

a soccer ball is kicked with an initial velocity of 5.0 m/s^2 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=

- physics -
**Marilyn Mendoza**, Wednesday, January 6, 2016 at 12:43am
The inicial componente of velocity can be found by using SOH,CAH,TOA or it can be also be found by c^2= a^2 + b^2.

This is the way I did it.

To find y I used the sin of 50 in order to find one of the sides.

It would look something like this

sin(50)= y/25 (you may place a 1 on the bottom part of sin(50) so you could cross multiply)

After you cross multiply you should have -6.559=y ( that's your answer for the first part)

Now let's solve for the X component.

Since I find y and the problem already gives the hypotenuse, which is 25 m/s, you may now use the c^2= a^2 + b^2 formula. Or you may still used the SOH,CAH,TOA.

In this case I will use the first formula. It would be set up something like this:

(-6.559...)^2 + b^2 = (25)^2

⬇

43.025... + b^2= 625

( subtract the 43.025... From both sides)

b^2= 581.974

( now square up both sides so b can be by itself)

So your answer woulb be

b= 24.12

- physics -
**Marilyn Mendoza**, Wednesday, January 6, 2016 at 8:42pm
Sorry guys, both of my answers are wrong since I totally forgot to change my calculator into Degrees, you follow the same steps but now in Degrees.

The correct answers are

Y= 19.15 & X= 16.07

(Sorry for my mistake)

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