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Homework Help: 3 Kinematics Problems

  1. Jan 18, 2010 #1
    1. The problem statement, all variables and given/known data

    1. Air Aircraft wants to head due west from Kingston to Toronto with a ground velocity of 400 km/h. The wind is blowing at 40.0 km/h from the north. With what speed and in which direction should the pilot fly the plane in order to make it directly to Toronto. [4]



    2. A football player is running at 5.0 m/s [N] when he enters the end zone. 10 m later he comes to rest.

    a) What is the acceleration of the player? [4]



    3. A soccer player kicks a ball off the ground with an initial velocity of 20 m/s 300 above the horizontal.

    a) What is the horizontal range of the ball when it lands back on the field? (Assume the field is level). [4]


    2. Relevant equations

    2. helpful equation: V2^2= V1^2 + 2ad


    3. The attempt at a solution

    for 1.
    V1=400 km/h
    g=400km/h
    w=40.0 km/h (s)

    g=a+w

    400-40.0= a

    4.0 x 10^2 km/h

    is this right?

    for 2.
    V2^2= V1^2 + 2ad

    V2^2-V1^2 / 2d = a

    0^2 - 5.0m/s ^2 / 2*10

    a=25/20
    a=1.3 m/s^2

    is this right?

    For 3.
    Vx(t) = dx
    17.3*10s=dx
    dx=17.3 m

    t=0-10 / -9.8
    t=1.0 s

    is this right?

    Thank you
     
  2. jcsd
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