For t 0, particle A has position t i+2t j metres, and particle B has position (6-2t) i+(1+t) j metre

Question

For t 0, particle A has position t i+2t j metres, and particle B has position (6-2t) i+(1+t) j metres. Show that their paths intersect but the particles do not collide. Find the path intersection and the separate arrival times.

Accepted Answer

$X=\left(\frac85,\frac{16}{5}\right)\text{ m};\quad t_A=\frac85\text{ s},\ t_B=\frac{11}{5}\text{ s};\quad\text{no collision}$

Intersecting paths without collision

Intersecting paths without collision

Solution:

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