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Pytels Dynamics 12.58: A projectile, launched with an initial v = 24 m/s at angle θ=60 degrees

  1. Aug 6, 2017 #1
    1. The problem statement, all variables and given/known data
    A projectile launched at A with an initial velocity of 24 m/s at the angle θ=60deg, impacts the vertical wall at B. Neglecting air resistance, calculate the height h

    2. Relevant equations


    3. The attempt at a solution
    Here is my solution

    Pytel_Dynamics038.jpg

    Pytel_Dynamics039.jpg


    As you can see to find height h I assumed that ##v_y=0## in the second of Eqs. (f) and solved for time.
    Is this correct or should I have solved first equation of (g) to find time and then solve for y?
     
  2. jcsd
  3. Aug 6, 2017 #2

    haruspex

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    Then don't. There is no basis for such an assumption.
    Yes, find t first.
     
  4. Aug 7, 2017 #3

    kuruman

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    Look at your equations labeled (e). The first equation can be used to find an expression for t in terms of x and θ. Substitute that in the second equation and you will have y as a function of x and θ. Substitute the given numbers for x and θ to find h.
     
  5. Aug 10, 2017 #4
    Pytel_Dynamics043.jpg

    Can you check this?
     
  6. Aug 10, 2017 #5

    cnh1995

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    It's correct.
     
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