Motion in a Plane Physics Proble

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Motion in a Plane Physics Problem

• By Karem Alvarez
• And
• Ryan Wachtstetter
• Mr. Odom
• Ap Physics

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Vector Row Boat Problem

• Given Information
• A Row boat is pointing perpendicular to the bank
  of a river. The rower can propel the boat with a
  speed of 3.0m/s with respect to the water. The
  river has a current of 4.0m/s.

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a.)construct a diagram in which the two
velocities are represented as vectors
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b.) Find the vector which represents the boats
velocity with respect to the shore.
V net V boat V water Since V of boat and V of
water are perpendicular Vnet square root of
Vboat2V water 2 Vnet square root 3242 5m/s
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c.) At what angle is this vector inclined to the
direction in which the boat is pointing?

• The angle is inclined to the direction of 53.1.
  This is found with the formula
• Tan ? V water/V row boat
• Tan ? 4 m/s /3m/s

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c.) diagram
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If the river is 100 m wide, determine how far
downstream of the launch point the rowboat is
when it reaches the opposite bank.

• D distance down stream
• D/100m V water/ V row boat
• D/100m 4m/s / 3m/s
• D 133m

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Conclusion

• The row boat has reached the other side of the
  river at 5 m/s with an angle of 53.1
• And is 133m downstream from the launch point, in
  a 100m wide river.