Question #48621

A lorry travels along a rough road at 30km for 30mins. If the lorry joins a tarred road and moves at 550km for 1hour.Calculate the average speed of the lorry in m/s
1

Expert's answer

2014-11-06T06:20:24-0500

Answer on Question #48621, Physics, Mechanics - Kinematics - Dynamics

A lorry travels along a rough road at 30km for 30mins. If the lorry joins a tarred road and moves at 550km for 1hour. Calculate the average speed of the lorry in m/s

By the definition, average speed is:


vav=Stotalttotalv_{av} = \frac{S_{total}}{t_{total}}


To find time in hours:


th=tmin60t_{h} = \frac{t_{min}}{60}


So, average speed is:


vav=S1+S2t160+t2v_{av} = \frac{S_{1} + S_{2}}{\frac{t_{1}}{60} + t_{2}}vav=30km+550km3060h+1h387kmh=3873.6ms107msv_{av} = \frac{30km + 550km}{\frac{30}{60}h + 1h} \approx 387 \frac{km}{h} = \frac{387}{3.6} \frac{m}{s} \approx 107 \frac{m}{s}


Answer: Average speed: vav107msv_{av} \approx 107 \frac{m}{s}

Check the values in the task, because the speed is too high.

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