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Q.

A scooter going due east at 10 ms-1 turns right through an angle of 900. If the speed of the scooter remains unchanged in taking turn, the change in the velocity of the scooter is

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a

20.0 ms-1 south-east direction

b

zero

c

10.0 ms-1 in south direction

d

14.14 ms-1

answer is D.

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Detailed Solution

If the magnitude of vector remains same, only direction change by θ thenΔv→ = v2→ −v1,→Δv→ = v2→ +(−v1→)Magnitude of change in vector |Δv→|   =  2vsinθ2|Δv→| = 2×10×sin(9002) = 102  =  14.14 m/sDirection is south-west as shown in figure.
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