A monkey is climbing up a tree with a speed of 3m/s. a dog runs towards the tree with a speed of 4m/s . what is the trajectory of monkey as seen by the dog ?
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Answer is 5 m/s....
Explanation:-
The two speeds are perpendicular to each other.
The two motions form a right angled triangle of base 4m/s and height 3m/s.
The relative speed is the hypotenuse speed of this motion.
We get the hypotenuse by pythagoras theorem.
Let the hypotenuse be c, the base be b and the height be a.
By Pythagoras theorem :
c² = a² + b²
c² = 3² + 4²
c² = 25
c = √25
c = 5
The relative speed is : 5 m/s.
Hope it helps you dear.......xd
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