1. Motion in a Plane Physics Problem
By: Karem Alvarez
And
Ryan Wachtstetter
Mr. Odom
Ap Physics

2. 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.

3. a.)construct a diagram in which the two velocities are represented as vectors

4. 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 Vboat2+V water 2
Vnet= square root = 5m/s

5. 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 θ = V water/V row boat
Tan θ= 4 m/s /3m/s

6. c.) diagram

7. 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

8. 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.