AP Physics 1 Question 373: Answer and Explanation

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Question: 373

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