- #1
physicsstdnt
- 5
- 0
Homework Statement
Mary needs to row her boat across a 100-m-wide river that is flowing to the east at a speed of 1.0 m/s. Mary can row with a speed of 2.0 m/s.
a) If Mary points her boat due north, how far from her intended landing spot will she be when she reaches the opposite shore?
b) What is her speed with respect to the shore?
Homework Equations
(V_r^2 + V_m^2)^(1/2)
In the y direction (north): d = 2t (where d is distance; t is time)
In the x direction (east): d = 1t
The Attempt at a Solution
a) I solved for t in the y direction and got 50 seconds then i plugged it into the x direction to find out how far off she was from her intended landing spot. The book shows a different answer than what i got.
b) I took the velocity of the river and squared it; then i took the velocity of Mary and squared it; then added and took the square root of the sum. I get 5^(1/2), but the book shows a different answer.
Any help would be appreciated.