Homework Help: Physics

Posted by Anon14 on Tuesday, August 30, 2011 at 9:40pm.

A car starts from the origin and is driven 1.72 km south, then 3.11 km in a direction 58° north of east. Relative to the origin, what is the car's final location? Express your answer in terms of an angle (in degree)
and a distance.

Physics - Henry, Thursday, September 1, 2011 at 5:00pm
X = hor. = 3.11cos58 = 1.65km.
Y=ver. = 3.11sin58 + (-1.72) = 0.92km.

tanA = Y / X = 0.92 / 1.65 = 0.5560,
A = 29.1 deg.

R = X / cosA = 1.65 / cos29.1 = 1.89km
@ 29.1 deg. North of East.

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