(a) A bumblebee flies with a ground speed of 15.2 m/s. Calculate its speed in km/hr.

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Identify the given speed of the bumblebee in meters per second (m/s), which is 15.2 m/s.

Recall the conversion factor between meters per second and kilometers per hour: 1 m/s is equivalent to 3.6 km/hr.

Multiply the given speed in m/s by the conversion factor to convert it to km/hr: \( 15.2 \text{ m/s} \times 3.6 \text{ km/hr per m/s} \).

Perform the multiplication to find the speed in km/hr.

Ensure the units are correctly converted and the final answer is expressed in km/hr.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. In this case, we need to convert the speed of the bumblebee from meters per second (m/s) to kilometers per hour (km/hr). This involves using conversion factors, specifically knowing that 1 km equals 1000 meters and 1 hour equals 3600 seconds.

Speed

Speed is a measure of how fast an object is moving, defined as the distance traveled per unit of time. It is a scalar quantity, meaning it has magnitude but no direction. In this problem, the bumblebee's speed is given in m/s, which indicates how many meters it travels in one second.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert one set of units to another by using conversion factors. It ensures that the units cancel appropriately, leading to the desired unit. In this question, dimensional analysis will help verify that the conversion from m/s to km/hr is done correctly, maintaining the integrity of the speed measurement.

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