To solve the problem, we need to understand the biomechanical reason behind why wrestlers spread their arms, knees, and legs when falling on the mat.
1. Principle of Impact Distribution:
When a wrestler falls, the force of impact from the ground can cause injury if concentrated in a small area. By spreading out their arms, knees, and legs, the wrestler increases the surface area over which the body contacts the mat.
2. Reduction in Pressure and Injury Risk:
Pressure is defined as force per unit area (P = F/A). By increasing the area (A), the pressure (P) on any one part of the body is reduced.
This helps to:
3. Control and Balance:
Spreading the limbs also helps the wrestler distribute body weight more evenly and absorb the shock gradually. This increases balance and control while landing, which is crucial for quickly returning to a defensive or offensive position.
4. Example from Physics:
This is similar to how a parachute slows a person’s descent—by increasing surface area, it reduces the impact on landing. Similarly, gymnasts and martial artists also use this principle to break falls.
Final Answer:
Wrestlers spread their arms, knees, and legs when falling to increase the surface area of contact with the mat, which helps reduce the pressure and impact force, thereby preventing injuries and maintaining better control during the fall.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).