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Would the baseball clear the fence- projectile motion

  1. Apr 15, 2012 #1
    1. The problem statement, all variables and given/known data

    A baseball is hit at a point 1.00m above homeplate. The baseball is given an initial velocity of 35.0m/s at an angle of 45.0° with respect to the horizontal. If the baseball is travelling towards the outfield fence which is 4.0m high and 120m away, will the baseball clear (go over) the fence? If so, by how many maters will it clear the fence? If not, where will the baseball strike?

    2. Relevant equations

    dv=1/2*at2
    dh=Vh*Δt
    Kinetic equation d=Vi*t+ 1/2*at2
    dh=-V2*sin2θ /g
    sinθ=opp/hyp
    cosθ=adj/hyp
    Δt=-2Vsinθ / g

    3. The attempt at a solution

    dh= cos(45)*35=24.7m
    Δt=24.7m/35m/s=0.71s

    d=(35)(0.71)+1/2(9.8)(0.71)2=27.3m

    No, the baseball will not clear the fence.

    I am really lost on this problem just because we are given so many measurements to work with and I dont know the appropriate time to use them and which equation is the right one. If someone could please check my work and correct me and also verify my significant figures that would be greatly appreciated!Thanks so much in advance.
     
    Last edited: Apr 15, 2012
  2. jcsd
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