Answer:
Part a)

Part b)
East of South
Explanation:
Part a)
Velocity of Juan is given as

velocity of the ball is given as

now we have

Part a)
We need to find velocity of ball with respect to Juan
so it is given as



magnitude of the speed is given as


Part b)
direction of velocity of the ball


East of South
The apparent velocity is B) 48 m/s north
Explanation:
Here we have a problem of relativity of velocities.
In fact, the train is travelling north at a speed of

where this velocity is measured with respect to the ground.
At the same time, a passenger on the train is walking towards the rear (so, south) at a velocity of

where this velocity is measured with respect to the train, which is in motion in the opposite direction.
Therefore, the apparent velocity of the passenger with respect to an observer standing on the ground is:

And the direction is north, since this number is positive.
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Explanation:
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The magnetic form of a substance can be determined<span> by examining its electron configuration: if it shows unpaired electrons, then the substance is paramagnetic; if all electrons are paired, the substance is diamagnetic.</span>