The total displacement of the motorcyclist is 179.58 km and its the average velocity is 63.38km/h.
Motorcyclist drive to north for 35 minutes at 85km/h. After that, he drives 130km in 2 hours towards the north.
We know,
Velocity = displacement/time
So,
We can write,
Displacement = velocity × time
Displacement = 85 × 35/60
Displacement = 49.58 km
After stopping for 15 minutes.
He moves again till a distance of 130 km. As the direction is not changing,
So the total displacement is,
Total Displacement = 179.58 km.
We know,
Average velocity = total displacement/total time
Total time = time for which he moved and time for which he stopped.
Total time = (0.58 + 0.25 + 2)hours
Total time = 2.88 hours.
Now, putting values,
Average velocity = 179.58/2.88
Average velocity = 63.38km/h
So, the average velocity of the motorcyclist is 63.38km/h.
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