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A child is in danger of drowning in the Merimac river. The Merimac river has a current of 3.1 km/hr to the east. The child is 0.6 km from the shore and 2.5 km upstream from the dock. A rescue boat with speed 24.8 km/hr (with respect to the water) sets off from the dock at the optimum angle to reach the child as fast as possible. How far from the dock does the boat reach the child?

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Final answer:

The question from Physics regarding the calculation of distance from the dock to where a rescue boat reaches a child involves understanding kinematics and vectors. The required solution involves vector addition and relative motion, but the question lacks sufficient detail to provide a numerical answer.

Step-by-step explanation:

The subject of this question is Physics, and it pertains to kinematics and vectors, which are typically covered in high school. The question asks us to calculate the distance from the dock to where a rescue boat reaches a child in the river, given the speeds of the river current, the child's position relative to the dock, and the speed of the rescue boat.

To find the distance from the dock to the child, we must consider the combined effect of the river current and the speed of the rescue boat. We look for the shortest path that the boat can take to reach the child, taking into account the current that affects the motion. This requires the use of vector addition and an understanding of relative motion.

By constructing a right triangle with the river flow and the path of the boat as vectors, we can use the Pythagorean theorem and trigonometry to solve the problem. However, the question itself is missing the necessary information such as angles or the exact position of the child relative to the dock to give a definitive numerical answer.

User Mustafa Tameemi
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In a problem where a child is danger form drowning from a river who has a current of 3.1km/hr to east and the child is 0.6km fro the shore and the upstream is 2,5km from the dock. So base on the question the boat with a speed of 24.8 km/hr is 1.9 km because the child is 0.6 km off the dock so 2.5 minus 0.6
User DARKGuy
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