A ship A travels in the north making angle of 450 to the west with a velocity of 18 km/hr & ship B travels in the east with a velocity of 9 km/hr.

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written 9.5 years ago by

teamques10 ★ 70k

• modified 5.7 years ago

Find the relative velocity of B w.r.t. ship A.

engineering mechanics

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written 9.5 years ago by

teamques10 ★ 70k

let VA be velocity of A & VB be velocity of B

$VA = 18 km/hr$ enter image description here $@ \theta = 450 $

$$VB = 3 km/h$$

Converting velocities in vector form.

$VA = -12.73i + 12.73j \\ VB = 9i $

Now, velocity of B w.r.t. $A = VB/A = VB - VA \\ = 9i + 12.73i - 12.73j \\ = 21.73i -12.73j \\ = 25.184 km/hr $ enter image description here $ @ \theta = 30.3630 $

Relative velocity of ship B w.r.t. ship A is $25.184 km/hr$ enter image description here $@ \theta = 30.3630 $

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