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xeze [42]
3 years ago
13

A mosquito flies toward you with a velocity of 2.4 km/h [E]. If a distance of 35.0 m separates you and the mosquito initially, a

t what point (distance and time) will the mosquito hit your sunglasses if you are travelling toward the mosquito with a speed of 2.0 m/s and the mosquito is travelling in a straight path?
Physics
1 answer:
tangare [24]3 years ago
7 0

First convert the speed of mosquito to m/s:

So the mosquito is flying at (2,400/3,600) m/s, or ⅔ m/s. 

<span>

Since you are moving at 2m/s, so this makes the closing velocity between you and the mosquito to be 2⅔ m/s. </span>

Therefore the mosquito will hit your sunglasses at:<span>

35 m / (2⅔ m/s) = 13⅛ seconds. 

2.0 m/s * 13⅛ s = 26¼ m from your initial position. 

<span>⅔ m/s * 13⅛ s = 8¾ m from the mosquito's initial position. </span></span>
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3 years ago
1. A boy walk 140 m due north, 85 m due east, 35 m due southeast, 38 m due west and then 19 m due northwest. Calculate the displ
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Answer:

141 m at 65.6° N of E

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Let E be along the positive x axis of a unit circle

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east displacement

x = 140cos90 + 85cos0 + 35cos-45 + 38cos180 + 19cos135 = 58.313708... m

north displacement

y = 140sin90 + 85sin0 + 35sin-45 + 38sin180 + 19sin135 = 128.6862915... m

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<u>Explanation</u>

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3 years ago
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Answer:

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