A vehicle travels east for 6 km, then south for 8 km without stopping. If the trip takes 15 minutes, what is the magnitude of the average velocity in km/h?
A) 20
B) 8
C) 14
D) 40
E) 56
IMAT 2023 · Question 59
Q59 - Kinematics and uniform motion
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The correct answer is D) 40.
Average velocity uses displacement, the straight line from start to end, not the distance travelled.
East 6 and south 8 make a right angle, so the displacement is √(36 + 64) = 10 km. 15 minutes is 0.25 h.
10 / 0.25 = 40 km/h
56 km/h is the average speed (14 km of distance).
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