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September 3, 2014

September 3, 2014

Posted by **Shaila** on Thursday, July 29, 2010 at 8:00am.

The resultant vector is 62.2m

if the field is 110m long, how far must the next player kick the ball to take a good shot at the center of the goal, and in approximately which direction?

(I tried the above question but i get 132 or 134! please help me and let me know if this is the correct answer and if incorrect please help)

- addition and subtraction of vectors -
**Reiny**, Thursday, July 29, 2010 at 10:13amI see it as

(25cos35°,25sin35°) + (0,40) + (acosŲ,asinŲ) = (0,110)

where a is the magnitude of the last kick and Ų is its direction.

simplifying we get

acosŲ = -25cos35° = -20.4788 and

asinŲ = 110 - 25sin35° - 40 = 55.66

so we can do

asinŲ/acosŲ = 55.66/-20.4788

tanŲ = -2.71796

Ų = 110.1997° (I picked the quadrant II angle from my diagram)

then asin110.1997° = 55.662

a = 59.3

I did not get your answer, but I am sure of my method, perhaps I made a calculation error.

but

(25cos35,25sin35) + (0,40) + (59.3cos110.2,59.3sin110.2) = (0,110)

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