Question

A train is moving at a constant speed of 54kmph moves eastwards for 30 min then north for 40 min. Find the average velocity.

Answer 1

Average velocity = displacement/ total time

Train travels 1/2 h * 54 km/ h E = 27 km E
Train travels 2/3 h * 54 km/ h N = 36 km N

A rough sketch of the above displacement vectors is helpful: use the Pythagorean Theorem to find the magnitude of the resultant displacement, and basic trig to find its direction.
Divide the resultant displacement by the total time (1/2 h + 2/3 h) to get average velocity.

Answer 2

Answer:

Average velocity= Displacement / time

Distance cover in first 30 minutes is= 54*1/2 =27 km (30min= 1/2 hr)

Distance cover in next 40 minutes is=54*40/60 = 36 km

- See the above diagram,

displacement of the object in 70 minutes or 7/6 he is-

From point I to point F = √(27)2+(36)2

=√2045

So displacement= 45 km

And average velocity= 45/(7/6) = 38.79 km/hr

Explanation:

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