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DanielleElmas [232]
3 years ago
5

Rain falls vertically downward with the velocity of 3.3 m/s. a boy moves at a speed of 5 m/s east in a bicycle with an umbrella.

what is the velocity of the rain with respect to the boy?

Physics
1 answer:
qaws [65]3 years ago
8 0
Refer to the diagram shown below.

The velocity of the rain relative to the boy is given by
\vec{V}_{r/b} = \vec{V}_{r} - \vec{V}_{b}
in a vectorial sense as shown in the figure.

Given:
Vr = 3.3 m/s
Vb = 5 m/s

Use the Pythagorean to obtain
Vr/b = √(3.3² + 5²) = 6 m/s

The angle that Vr/b makes with due east is
θ = tan⁻¹ (3.3/5) = 33.4°
Answer:
The velocity of the rain with respect to the boy is 6 m/s.
The direction of the rain is 33.4° north of due east.

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Answer:

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Conveniently, the lamp posts in this problem are equally spaced, and we can treat that spacing as our measuring stick. To measure speed, we'll need to bring time in somehow too, and that's where the stopwatch comes in. A good method might go like this:

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Of course, you'll never find an *exact* amount, but the more data points you have, the better your approximation will become.

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