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A man walks towards east a distance of 3km at a rate of 5 km per hour and then towards north a distance of 4 km at a rate of 3 km an hourfind the average speed and velocity?
Wiki User
∙ 14y ago
Speed is a scalar, velocity is a vector and so the direction of motion is important for velocity.
Total distance travelled = 3km + 4 km = 7 km
Total time taken = 3/5 hours + 4/3 hours = (9+20)/15 = 29/15 hours
Average speed = 7 / (29/15) = 7*15/29 = 3.6207 km per hour.
Final location = 3 km E + 4 km N = 5 km away from the starting point (by Pythagoras)
in the direction 53.13 degrees = arctan(4/3).
So average velocity = 5 / (29/15) = 5*15/29 = 2.5862 km per hour in the direction given above.
Wiki User
∙ 14y ago
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