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# DETERMINE THE RESULTANT VELOCITY OF 75 M/SEC, 25 DEGREES EAST OF NORTH AND 100 M/SEC, 25 DEGREES EAST OF SOUTH

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DETERMINE THE RESULTANT VELOCITY OF 75 M/SEC, 25 DEGREES EAST OF NORTH AND 100 M/SEC, 25 DEGREES EAST OF SOUTH

Guest Sep 30, 2014

#1
+92674
+10

We have two vectors here   v1 = < 75cos(65) , 75sin(65) >    and v2 = < 100cos(295), 100sin(295) >

Adding the x components, we have   75cos(65)  + 100cos(295) = about 73.96

Adding the x components, we have   75sin(65)  + 100sin(295) = about -22.66

And the resultant is given by

√[73.96+ (-22.66)2 ] =  about 77.35

And the resultant angle is given by

CPhill  Sep 30, 2014
#1
+92674
+10

We have two vectors here   v1 = < 75cos(65) , 75sin(65) >    and v2 = < 100cos(295), 100sin(295) >

Adding the x components, we have   75cos(65)  + 100cos(295) = about 73.96

Adding the x components, we have   75sin(65)  + 100sin(295) = about -22.66

And the resultant is given by

√[73.96+ (-22.66)2 ] =  about 77.35

And the resultant angle is given by

CPhill  Sep 30, 2014
#2
+94105
0

thanks Chris,

One day I will get the time to 'study' your vector answers.

Melody  Sep 30, 2014