Question #51825

A man leaves the garrage in his house and drives to a neighbouring town which is twenty kilometres away from his house on sight-seeing. He returns home to his garrage two hours after. What is his average velocity from home in km/h?
1

Expert's answer

2015-04-08T09:58:30-0400

Answer on Question #51825, Physics, Mechanics | Kinematics | Dynamics

A man leaves the garage in his house and drives to a neighbouring town which is twenty kilometres away from his house on sight-seeing. He returns home to his garage two hours after. What is his average velocity from home in km/h?

Solution:

The average velocity during the course of a motion is often computed using the following formula:


Average Speed=Distance TraveledTime of Travel\text{Average Speed} = \frac{\text{Distance Traveled}}{\text{Time of Travel}}vav=d1+d2t1+t2v_{av} = \frac{d_1 + d_2}{t_1 + t_2}


From given:


d1=d2=20 kmd_1 = d_2 = 20 \text{ km}t1+t2=2 hourt_1 + t_2 = 2 \text{ hour}


Thus,


vav=d1+d2t1+t2=20+202=20 km/hv_{av} = \frac{d_1 + d_2}{t_1 + t_2} = \frac{20 + 20}{2} = 20 \text{ km/h}


Answer: vav=20 km/hv_{av} = 20 \text{ km/h}

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