Vectors

Vectors

Vectors

Vectors Distance X and Y Velocity Vx Vy Acceleration Ax Ay

Difficult Vector Questions Include 2 different units. Distance Velocity Acceleration

Vector Question 1. A plane flies northwest out of O'Hare Airport in Chicago at a speed of 400 km/hr in a direction of 30 degrees north of west. The Canadian border is located a distance of 1500 km due north of Chicago. The plane will cross into Canada after approximately ____ hours. A. 0.13 B. 0.23 C. 0.27 C. 3.75 E. 4.33 F. 6.49 G. 7.50 H. None of these are even close.

Answer The plane has both a northward and a westward motion. The northward motion towards the Canadian border is dependent upon the component of velocity in the northern direction. To solve this problem, the northern component of the plane's velocity must first be determined.

Solution VNorth = 400 • sin (150 degrees) = 200 km/hr Once determined, the d = v • t equation can be used to determine the time that it takes the plane to reach the Canadian border. DNorth = VNorth • t t = DNorth / VNorth = (1500 km) / (200 km/hr) = 7.5 hr Answer: G