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August 21, 2014

August 21, 2014

Posted by **Annamaria** on Wednesday, August 26, 2009 at 2:21am.

I know I have to use the formulas Ax = A cos è, Ay = A sin è, A = sq rt((Ax)^2 + (Ay)^2), and è = tan^(-1) (Ay/Ax). But I'm not sure whether I should calculate 125*sin(30) on the calculator because I get a negative number.

- AP Physics -
**Annamaria**, Wednesday, August 26, 2009 at 2:23amè is theta

- AP Physics -
**Dr Russ**, Wednesday, August 26, 2009 at 6:07am125sin(30) is 125x0.5 = 62.5

For this sort of problem you need to draw it out on paper and so hard to show on here.

210 m sin(30) + 75 m= 105 m gives the total displacement north. After this he moves south by 150 m so his displacement north is

105m+-150m +75 m = 30 m

[North is the +ve direction)

His displacement east is

250 m + 210 cos 30 = 250 m +182 m = 432 m

so the displacement angle is

tan^-1(30/432) = 3.97 deg (North of east)

and the displacement is

Sqrt(30^2 + 432^2) = 433 m

But check my maths!!

- AP Physics -
**Annamaria**, Wednesday, August 26, 2009 at 6:42pmThanks

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