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Textbook Expert
Textbook ExpertVerified Tutor
6 Nov 2021

Given information

We are given that,
The angle of inclination,
Let us assume that be the final velocity of the child,
be the initial velocity, be the acceleration along the incline, and be the displacement or length of the incline.
 
 

Step-by-step explanation

Step 1.
The free body diagram for the problem is given below:-
According to the third equation of motion,
  
Now the forces along the incline can be described as below:-
The weight component along the slanted plane is . 
The weight component perpendicular downward to the slanted plane is .
 
As it is known that the frictional force is:-
   
Where, is the coefficient of friction and is the normal reaction force which balances the perpendicular component of weight along the incline,.

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