**AP Physics 1 Question 373: Answer and Explanation**

### Test Information

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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

**Explanation:**

**B**

The kayaker's resultant velocity, **v**, will be the sum of the river's velocity, **v**_{r}, and the velocity of her paddling, **v**_{p}:

**v** = **v**_{r} + **v**_{p}

Since the kayaker wishes to travel due east, the component of **v**_{p} in the N-S direction must cancel **v**_{r}, so *v*_{p,N-S} = 1° m/s due N. Since the magnitude of **v**_{p} is 1.5 m/s, her heading can be calculated using