9: A body is moving in north direction with a velocity of 22 m/s, turns west
and continues with the same velocity. What is the change in its velocity?
O There is no change in velocity.
O The magnitude of change is zero.
O There is a non zero change in velocity.
O Option 4
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Answer:
c. There is a non zero change in velocity.
Explanation:
Let us assume that i and j are unit vector along north and west direction respectively.
Now, initial velocity ⃗v₁ = 22i m/s
Final velocity ⃗v⃗₂ = 22j m/s
Change in velocity vector is given by
Δ⃗v = ⃗v₂ - ⃗v₁
= 22j - 22i
= -22i + 22j m/s
Hence change in velocity is non zero.
Also magnitude of change in velocity is given by
|Δ⃗v| = √(22² + 22²)
= 22√2 m/s
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