1. A boat moves at 4.50m/s relative to the water. (You can neglect relativity at

Question

1. A boat moves at 4.50m/s relative to the water. (You can neglect relativity at these slow speeds.)

Part A

Find the boat's speed relative to shore when it's traveling downstream in a river with a 1.0m/s current.

Express your answer to two significant figures and include the appropriate units.

Part B

Find the boat's speed relative to shore when it's traveling upstream in a river with a 1.0m/s current.

Part C

The boat travels 100 m downstream and then 100 m upstream, returning to its original point. Find the time for the round trip.

Part D

Compare this time with the round-trip time if there were no current.

Explanation / Answer

1)

A) boat's speed relative to shore when it's traveling downstream

= 4.5 + 1

= 5.5 m/s

B) boat's speed relative to shore when it's traveling upstream

= 4.5 - 1

= 3.5 m/s

c) total time = t_down + t_up

= 100/5.5 + 100/3.5

= 46.75 s

d) t > tno current

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