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Q.

The position of a particle is given 

r=3ti^+2t2j^+5k^, where t is in seconds are r in metres velocity of particle at t = 1 s is :

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a

5ms1 at angle tan143 with y-axis 

b

7ms1 at angle tan134 with y-axis 

c

5ms1 at angle tan143 with x-axis 

d

7ms1 at angle tan134 with x-axis 

answer is A.

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Detailed Solution

v=drdt=3i^+4tj^

t=1s,v=(3i^+4j^)ms1

Question Image

|v|=32+42=5ms1

θ=tan1vyvx

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