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Question

A particle moving eastwards with 5 ms1. In 10 s the velocity changes to 5 ms1 northwards. The average acceleration in this time is

A
12 m/s2 North-East.
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B
12 m/s2 North-West.
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C
12 m/s2 North-West.
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D
Zero.
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Solution

The correct option is C 12 m/s2 North-West.
Considering eastwards as positive xaxis and northwards as positive yaxis, we can write the velocities as per the question as initial velocity of the particle vi=5^i and the final velocity of the particle vf=5^j
So, average acceleration is given as
aav=vfvit=5^j5^i10=12(^j^i)
or, |aav|=12 m/s2 North-West.

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