Question

1. which of the following would cause the boat to reach the opposite shore at a location south of c? circle all that apply. justify each answer choice. a. the boat heads across the river at 6 m/s. b. the boat heads across the river at 10 m/s. c. the river flows south at 2 m/s. d. the river flows south at 4 m/s. e. nonsense! none of these effect the location where the boat lands.

Explanation:

Step1: Analyze boat - river motion concept

The horizontal motion of the boat across the river and the vertical motion due to the river - flow are independent. The location of the boat on the opposite shore in the direction along the river is determined by the velocity of the river - flow. The velocity of the boat across the river only affects the time taken to cross the river, not the position along the river direction on the opposite shore.

Step2: Evaluate each option

• Option a and b: The speed at which the boat heads across the river (6 m/s or 10 m/s) only affects the time to cross the river. It has no impact on the position along the river on the opposite shore.
• Option c: If the river flows south at 2 m/s, it will carry the boat southward as it crosses the river, causing it to land south of the intended point.
• Option d: If the river flows south at 4 m/s, it will also carry the boat southward as it crosses the river, causing it to land south of the intended point.
• Option e: This is incorrect as the river - flow velocity does affect the landing position along the river on the opposite shore.

Answer:

C. The river flows south at 2 m/s, D. The river flows south at 4 m/s