1. Once a person is in the air during a jump can they modify their path in the air of:

a) their head
b) Their whole body centre of gravity
c) their hip joint

(yes or no)

2. To achieve peak horizontal distance on flat ground, what should the angle of take off be?

1. To answer question 1, we need to understand the concept of moment of inertia. Moment of inertia is a measure of an object's resistance to changes in its rotational motion. When a person is in the air during a jump, they can modify their path by manipulating their moment of inertia.

a) Regarding the head: Yes, a person can modify their path in the air by moving their head. By tucking or tilting their head in a certain direction, they can create a slight change in their moment of inertia, which can affect their path.

b) Regarding the whole body center of gravity: Yes, the person can also modify their path by adjusting their body's center of gravity. By shifting their body position, such as extending their arms or bending their legs, they can change the distribution of mass and alter their moment of inertia, thus affecting their trajectory.

c) Regarding the hip joint: Yes, the person can also modify their path by adjusting their hip joint. The movement of the hip joint can change the orientation of the legs and body, thereby altering the distribution of mass and the moment of inertia.

2. To achieve peak horizontal distance on flat ground during a jump, the angle of takeoff should be approximately 45 degrees. This angle allows for an optimal balance between vertical and horizontal velocity components. A lower angle would result in a higher vertical jump but shorter horizontal distance, while a higher angle would lead to a longer horizontal distance but a lower vertical jump. Therefore, a 45-degree angle provides the best compromise for maximizing both vertical and horizontal jump distance on flat ground.