Please answer this question :

Two boats are moving along perpendicular paths on a still lake at night. One boat moves with a speed of 3ms–1 and the other boat moves with a speed of 4 ms–1 in the directions such that they collide after some time. At t = 0, the boats are 300 m apart. Two boats will collide after time ____________

Dear student,


From the figure,
The resultant velocity
Vb,a = (32 + 42)(1/2)      
( as angle is 90°, because two boats moving in perpendicular paths)
=> Vb,a = 5 m/s
so they collide after time
=> t = (300/5) =  60 s.

Regards.

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