Answer:
(a) The list of angles based on amount of time in the air; 15° < 25° < 45° < 60°, < 80°
(b) The list of angles based on distance = 80° < 15° < 25° < 60° < 45°
Explanation:
(a) The given parameters are;
The angles in which the ball is thrown, θ = 45°, 15°, 60°, 25°, and 80°
The velocity with which the ball is thrown each time = The same velocity
The amount of time the projectile is in the air given as follows;
Where;
t = Half the amount of time the projectile is in the air
θ = The angle of flight of the projectile
u = The initial velocity of the projectile = Constant for all angles in which the ball is thrown
g = The acceleration due to gravity = 9.8 m/s² = Constant
Therefore, we have;
When θ = 45°;
When θ = 15°;
When θ = 60°;
When θ = 25°;
When θ = 80°;
Therefore, the list of the angles based on the amount of time in the air from the shortest time to the longest time is given as follows;
List of angles based on amount of time in the air; 15° < 25° < 45° < 60°, < 80°
(b) The horizontal range, R is given as follows;
When θ = 45°
When θ = 15°
When θ = 60°;
When θ = 25°;
When θ = 80°
Therefore the list of angles based on the horizontal range the baseball travels from the shortest distance to the longest distance is given as follows;
List of angles based on distance = 80° < 15° < 25° < 60° < 45°.