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julia-pushkina [17]
2 years ago
6

While driving north at 25 m/s during a rainstorm you notice that the rain makes an angle of 38° with the vertical. While driving

back home moments later at the same speed but in the opposite direction, you see that the rain is falling straight down. From these observations, determine the speed and angle of the raindrops relative to the ground.

Physics
1 answer:
Natali [406]2 years ago
6 0

Answer:21.33^{\circ}

Explanation:

Given

velocity of driver v_1=25 m/s w.r.t ground towards north

driver observes that rain is making an angle of 38^{\circ} with vertical

While returning v_2=25 m/s w.r.t. ground towards south

suppose u_1=velocity of rain drop relative car while car is going towards north

u_2=velocity of rain drop relative car while car is going towards south

z=vector sum of u_1 & v_1

Now from graph

\tan 38=\frac{v_1+v_2}{u_2}

u_2=\frac{25+25}{\tan 38}=64 m/s

z=\vec{u_2}+\vec{v_2}

therefore magnitude of z is given by

|z|=\sqrt{u_2^2+v_2^2}

|z|=\sqrt{64^2+25^2}

|z|=68.70 m/s

\tan A=\frac{v_2}{u_2}

\tan A=\frac{25}{64}=0.3906

A=21.33^{\circ}

Thus rain drops make an angle of 21.33^{\circ} w.r.t to ground

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