physics

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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 -

    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 -

    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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