AP Physics 1 Question 373: Answer and Explanation
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1. A section of a river flows with a velocity of 1 m/s due S. A kayaker who is able to propel her kayak at 1.5 m/s wishes to paddle directly east one bank to the other. In what direction should she direct her kayak?
- A. 37° N of E
- B. 42° N of E
- C. 45° N of E
- D. 48° N of E
Correct Answer: B
The kayaker's resultant velocity, v, will be the sum of the river's velocity, vr, and the velocity of her paddling, vp:
v = vr + vp
Since the kayaker wishes to travel due east, the component of vp in the N-S direction must cancel vr, so vp,N-S = 1° m/s due N. Since the magnitude of vp is 1.5 m/s, her heading can be calculated using