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Question

A truck travelling due north at 50 km/hr turns west and travels at the same speed. What is the change in velocity?


Your Answer
A
50 km/hr north-west
Your Answer
B
502 km/hr north-west
Your Answer
C
50 km/hr south-west
Correct Answer
D
502 km/hr south-west 

Solution

The correct option is B 502 km/hr south-west 
Initial velocity of truck,
V1=50^j
Final velocity of truck,
V2=50^i
Change in  velocity = final velocity - initial velocity
ΔV=50^i50^j
Hence, magnitude of change in velocity is,
|ΔV|=(50)2+(50)2=502 km/hr
We can see that both component of resultant vector is negative, so the angle of change in velocity vector lies in third quadrant and equal to 45 from both west and south. Hence, the direction is South – West.

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