A particleAmoves with velocity(2ˆi−3ˆj)m/sfrom a point(4,5m)m. At the same instant a particleB, moving in the same plane with velocity(4ˆi+ˆj)m/spasses through a pointC(0,−3)m. Find thex-coordinate (inm) of the point where the particles collide.

A particleAmoves with velocity(2ˆi−3ˆj)m/sfrom a point(4,5m)m. At

1.	A particleAmoves with velocity(2ˆi−3ˆj)m/sfrom a point(4,5m)m. At the same instant a particleB, moving in the same plane with velocity(4ˆi+ˆj)m/spasses through a pointC(0,−3)m. Find thex-coordinate (inm) of the point where the particles collide.
Answer» Correct Answer - 8 If particle collide sfter time t at point P, then position of both after time t should be same both have uniform motion. by `S=S_(0)+vxxt` for `I^(st)` particle `S_(I)=4hat(i)+5hat(j)+(2hat(i)-3hat(j))xxt` for `II^(nd)` particle `S_(II)=-3hat(j)+(4hat(i)+hat(j))xxt` but `S_(I)=S_(II)` `4hat(i)+5hat(j)+(2hat(i)-3hat(j))t=-3+(4hat(i)+hat(j))+(4hat(i)+hat(j))xxt` `4hat(i)+8hat(j)=2hat(i)t+4hat(i)t` by comrision along `xxDeltay` `t=2` sec `S_(I)=4hat(i)+5hat(j)+(2hat(i)-3hat(j))2` `=8hat(i)-hat(j)` `x=8 m`

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A particleAmoves with velocity(2ˆi−3ˆj)m/sfrom a point(4,5m)m. At the same instant a particleB, moving in the same plane with velocity(4ˆi+ˆj)m/spasses through a pointC(0,−3)m. Find thex-coordinate (inm) of the point where the particles collide.

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