D1 = 88 * 2 = 176km, S.
D2 = 55 * 1.5 = 82.5km[70o] N. of E.
X = 82.5*Cos70 = 28.22 km.
Y = -176 + 82.5*sin70 = -98.5 km.
D = sqrt(X^2+Y^2) = sqrt(28.22^2+98.5^2) = 102.5 km.
Tan A = Y/X = (-98.5)/28.22 = -3.49043, A = -74o = 74o S. of E.
= Direction.
An automobile leaves the store, first going south at 88 km/h for 2 hours, and then turns on a road heading 20 degrees east of north at 55 km/h for 1.5 hours. Calculate the (x,y) components of the net displacement of the automobile from the starting position, where the x-axis is east and y-axis is north. Calculate the magnitude and direction of the automobile's net displacement. Give the magnitude in km and its direction using points of the compass.
1 answer
7 answers