First slide

Motion in a plane

Question

A ship is moving due east with a velocity of 12 m/ sec, a truck is moving across on the ship with velocity 4 m/sec. A monkey is climbing the vertical pole mounted on the truck with a velocity of 3 m/sec. Find the velocity of the monkey as observed by the man on the shore

Moderate

A

10 m/sec
B

15 m/sec
C

13 m/sec
D

20 m/sec

Solution

$\large \bar v_{mwrtman}=\bar v_{ship}+\bar v_{monkey}=12\vec i+4\vec j+3 \vec k$
$\large \bar v_{mwrtman}=\sqrt{(12)^2+(4)^2+(3)^2}$
=√169=13 ms^-1

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