This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Answer
54\hat{i} + 28\hat{j}
You're on a roll — Step 1: Identify the given velocities. The velocity of the boy relative to the train is . The velocity of the train relative to the roadside observer is .
Step 2: Apply the relative velocity formula. To find the velocity of the boy relative to the roadside observer (), we add the velocity of the boy relative to the train and the velocity of the train relative to the roadside observer.
Step 3: Substitute the given vector values and perform vector addition. Combine the components and the components:
The velocity of the boy relative to the roadside observer is .
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You're on a roll — Step 1: Identify the given velocities. The velocity of the boy relative to the train is V_BT.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.