a train travel for 30 minutes with a velocity of 54km/h and then 120 minutes with a velocity of 72 km/h in the same direction . calculate avarage velocity
Answers
Answer:
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Explanation:
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Explanation:
Let
v1 = 54km/h
t1 = 30 minutes = 1/2 hr
v2 = 72 km/h
t2 = 120 minutes = 2 hrs
So, according to the data provided,
Distance traveled in first 30 minutes = v1 × t1 = [54 × (1/2)] km = 27 km
Distance travelled in next 120 minutes = v2 × t2 = [72 × 2] km = 144 km
Total distance travelled by the train = 27 km + 144 km = 171 km
Total time taken = 1/2 hr + 2 hrs = 5/2 hrs
Since, average velocity = Total displacement / Total time taken
average velocity = Total displacement / Total time taken
= 171/(5/2) km/h
= (171 × 2)/5 km/h
= 342/5 km/h
= 68.4 km/h
<v> = 68.4 km/h
Hence, the average velocity of the train is 68.4 km/h.