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Velocity and position of the boat

  1. Jan 29, 2017 #1
    1. The problem statement, all variables and given/known data
    A boat leaves the dock at t=0 s and heads out into the lake with an acceleration of 2m/s^2i.A strong wind pushing the boat, giving it additional velocityof 2m/si+ 1m/sj.
    (a) What is the velocity of the boat at t=10s?
    (b) What is the position of the boat at t=10?
    2. Relevant equations
    v=vo+at
    x=x0+vx0t+0.5at^2
    y=y0+vy0t+0.5at^2

    3. The attempt at a solution
    v0=√(2^2+1^2)= 2.2m/s
    v=2.2m/s+20m/s= 22.2m/s
    x=0+20m+100m=120m
    y=0+10m+100m=110m
     
  2. jcsd
  3. Jan 29, 2017 #2

    gneill

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    Staff: Mentor

    Hi Yovanna,

    Note that in (a) they ask for the velocity, not the speed. So you'll want to keep all the vector components separated and give your result as a vector.

    In (b), when you calculated the y-position component, where did the 100 m term come from?
     
  4. Jan 29, 2017 #3

    ohh right! Thank you so much!!
     
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