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inn [45]
3 years ago
10

As you walk to class with a constant speed of 1.60 m/s, you are moving in a direction that is 15.0° north of east. How long does

it take you to move (a) 20.0 m east or (b) 30.0 m north?
Physics
1 answer:
Alina [70]3 years ago
4 0
<h2>a)Time taken is 12.90 seconds</h2><h2>b) Time taken is 72.46 seconds</h2>

Explanation:

Let east be positive x axis and north be positive y axis

Speed = 1.60 m/s in a direction that is 15.0° north of east.

Speed, v = 1.60 cos 15 i + 1.60 sin 15 j = 1.55  i + 0.414 j m/s

a) We need to find time taken to travel 20 m along east

Speed along east = 1.55 m/s

Distance = Speed x Time

20 = 1.55 x Time

Time = 12.90 seconds

Time taken is 12.90 seconds

b) We need to find time taken to travel 30 m along north

Speed along north = 0.414 m/s

Distance = Speed x Time

30 = 0.414 x Time

Time = 72.46 seconds

Time taken is 72.46 seconds

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Answer:

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