A pouring rain comes straight down with a raindrop speed of 8.6 m/s. A woman with an umbrella walks at 1.1 m/s to get home. At what angle should she tilt her umbrella to get the maximum protection from the rain?
A pouring rain comes straight down with a raindrop speed of 8.6 m/s. A woman with an umbrella walks at 1.1 m/s to get home. At what angle should she tilt her umbrella to get the maximum protection from the rain?
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Transcribed Image Text:A pouring rain comes straight down with a raindrop speed of 8.6 m/s. A woman with
an umbrella walks at 1.1 m/s to get home. At what angle should she tilt her umbrella
to get the maximum protection from the rain?
It is raining, and there is no wind. When you are sitting in a stationary car, the rain
falls straight down relative to the car and the ground. But when you're driving, the
rain appears to hit the windshield at an angle. If the raindrops fall straight down at a
speed of 9 m/s, but appear to make an angle of 30 degree to the vertical, what is the
speed of the car?
A plane is headed eastward at a speed of 160 m/s. If a 35 m/s wind is blowing
northward, what is the velocity of the plane relative to the ground?
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