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Chapter 4: Q.62 (page 108)

While driving north at 25m/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.

Short Answer

Expert verified

The speed and angle of the raindrops relative to the ground is 68.7m/sand21.3° respectively.

Step by step solution

01

Given Information

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

02

Calculation

The velocity of rain with respect to the car with vertical direction make angle of 38°.

role="math" localid="1647939501776" tan38°=v1+v2u2u2=25+25tan38°u2=64m/s

The speed and angle of the raindrops relative to the ground is:

role="math" localid="1647939626538" v=u22+v22v=642+252v=68.7m/sθ=tan-1(v2u2)θ=tan-1(2564)θ=21.3°

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