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yolika105 Group Title

a fish swimming in a horizontal plane has a velocity v(i)=(4.00i+1.00j) m/s at a point in the ocean where the position realative to a certain rock is r(i)=(10.0i-4.00j)m. After the fish swims with constant acceleration for 20.0 s, its velocity is v=(20.0i-5.00j)m/s. a) what are the components of the acceleration of the fish? what is the direction of its acceleration with respect to unit vector (i) what if the fish maintains constant acceleration, where is it at 25.0 sec and in what direction is it moving.

  • one year ago
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  1. henpen Group Title
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    As the acceleration is constant, decompose the motion into x and y components u=4 v=20 t=20 and u=1 v=-5 t=20 Use a=(v-u)/t to find a It is a=0.8 and a=-0.25 S0\[v(t)=(4-0.8t)i,(1-0.25t)j\]Integrating:\[r(t)=(4t-0.4t^2)i,(1t-0.125t^2)j\]

    • one year ago
  2. henpen Group Title
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    Sorry, that was minus 4, not 5, a is still -0.25

    • one year ago
  3. henpen Group Title
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    I'm not sure if that unit vector refers to the fish's position or velocity.

    • one year ago
  4. henpen Group Title
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    For the 2nd question, just plug in 25 to v(t) and r(t)

    • one year ago
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