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Q.

At t = 0, two particles B and C are located at the origin of the coordinate system. Then they start moving simultaneously. B moves under constant acceleration of 2k^  m/s2 with an initial velocity of  8j^  m/s. Particle C moves with constant velocity  V→0 in such a way that B and C collide at t = 4 s. Then mark the INCORRECT statement(s).

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a

V→0=8j^+4k^ m/s

b

Position vector of location where two particles collide is  16i^+32k^m

c

V0→ =4j→+8 k→

d

It is not possible that B and C collide with each other for any value of  v→0

answer is B.

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Detailed Solution

Particle B:vB=uB+aBtV→B=8j^+2tk^  r→B=uBt+12aBt2=8tj^+122t2k^=8tj^+t2k^Particle C:r→C=Vxti^+Vytj^+Vztk^V→C=V→0=Vxi^+Vyj^+Vzk^ At t=4sr→B=r→C 8tj^+t2k^ =Vxti^+Vytj^+Vztk^On comparing  we get⇒Vx=0,Vy=8,Vz=t=4∴V→0=8j^+4k^Position vector of collision r→B=84j^+42k^=32j^+16k^
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