Exciting Adventure: Jack and the Bear!

How far away from the bear will Jack reach the shore?

A) 20 meters

B) 22 meters

C) 24 meters

D) 26 meters

Final answer:

Answer:

To determine how far away from the bear Jack will reach the shore, we need to consider the velocity of Jack and the velocity of the river. Since Jack swims straight towards the opposite shore, his velocity relative to the ground is the vector sum of his swimming velocity and the velocity of the river. The distance away from the bear would be 5 seconds x velocity of the bear (which is the velocity of the river, 1 m/s) = 5 m. Adding the width of the river, the final answer would be 5 meters + 10 meters = 15 meters away from the bear.

Explanation:

To determine how far away from the bear Jack will reach the shore, we need to consider the velocity of Jack and the velocity of the river. Since Jack swims straight towards the opposite shore, his velocity relative to the ground is the vector sum of his swimming velocity and the velocity of the river.

The resultant velocity can be calculated using the Pythagorean theorem. The magnitude of the resultant velocity is given by sqrt(velocity of Jack^2 + velocity of the river^2). Plugging in the values, we get sqrt((2 m/s)^2 + (1 m/s)^2) = sqrt(4 + 1) = sqrt(5) m/s.

Since the river is 10 meters wide, and Jack swims at a velocity of 2 meters/second, it would take him 5 seconds to reach the opposite shore. Therefore, the distance away from the bear would be 5 seconds x velocity of the bear (which is the velocity of the river, 1 m/s) = 5 m. Adding the width of the river, the final answer would be 5 meters + 10 meters = 15 meters away from the bear.