A) v0 is 8j + 4k
B) position vector of location where two particles collide is 16i + 32k
C) Both [a] and [b] are correct
D) it is not possible that B and C collide with each other for any value of v0
Correct Answer: A
Solution :
\[{{v}_{A}}=3i\] \[{{v}_{B}}=8j+2t\,k,\] where Vg is velocity of B at any time t. Location of B at any time t is given by, \[{{r}_{B}}=(8t)j+\frac{1}{2}\,(2{{t}^{2}})k\] Location of Cat any time ris given by. \[{{r}_{C}}={{v}_{0}}\times t\] So, from given condition, \[{{r}_{B}}\,(t=4)\,={{r}_{C}}\,(t=4)\] \[\Rightarrow \] \[(8\times 4)j+{{4}^{2}}k={{v}_{0}}\times 4\] or \[{{v}_{0}}=(8j+4k)\,m/s\]You need to login to perform this action.
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