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MTALHAHASSAN2
 one year ago
Need help
A duck flies 10 m [N20E] and then 5m due East. What is the displacement of the duck?
MTALHAHASSAN2
 one year ago
Need help A duck flies 10 m [N20E] and then 5m due East. What is the displacement of the duck?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0displacement will be the sum of the two vectors. Can you resolve the 10 m vector? dw:1435792790703:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[r_1=10\cos70° i+ 10 \sin 70° j\] \[r_2=5\cos0°i+5\cos0°j = 5 i\]

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0wait but how can we find the displacement

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0add the vectors d = (5+10 cos 70°)i + (10 sin 70°)j d = 8.42 i + 9.40 j Now just find the magnitude (√(x² + y²)) and direction (arctan (y/x))

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0how you get sin and cos 70

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes. I just like working with the angle to the horizontal. You can also make the x be 10 sin 20 and then y would be 10 cos 20. You get the same results

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes 12.6 m. the direction is arctan (9.4/8.42) = 48.14° from the horizontal which is 9048.14 = 41.85° from the vertical So the displacement is about 12.6 m N42E
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