A map suggests that Atlanta is 730 miles in a direction 5.00 degree north of eas

Question

A map suggests that Atlanta is 730 miles in a direction 5.00 degree north of east from Dallas. The same map shows that Chicago is 560 miles in direction 21.0 degree west of north from Atlanta. The figure below shows the location of these three cities. Modelling the Earth as flat, use this information to find the displacement from Dallas to Chicago. magnitude direction north of east of Dallas As a projectile moves in its parabolic path, the velocity and acceleration vectors are perpendicular to each other at which of the following along the projectile's path? everywhere at the peak

Explanation / Answer

x1 = 730cos5 = 727.2 mi

y1 = 730sin5 = 63.6 mi

x2 = 560cos(90+21) = -200.7 mi

y2 = 560sin111 = 522.8 mi

x = x1+x2 = 526.5 mi

y = y1+y2 = 586.4 m

total displacement = sqrt(x^2+y^2) = 788.1 mi

direction = tan^-1(586.4/526.5) = 48.1 degrees north of east

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