Final answer:
To find how much further the ball would fly at an angle of 45 degrees, we can use the range formula for projectile motion. Given the initial range and angle, we can find the initial velocity of the ball and then calculate the new range at an angle of 45 degrees.
Step-by-step explanation:
To find how much further the ball would fly at an angle of 45 degrees, we can use the range formula for projectile motion. The range formula is given by:
R = (v^2 * sin(2θ)) / g
Where R is the range, v is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity.
Given that the ball flies 8.22 meters at an angle of 41 degrees, we can use this information to find the initial velocity of the ball:
8.22 = (v^2 * sin(2 * 41°)) / 9.8
Using this equation, we can solve for v and then substitute it into the range formula to find the new range at an angle of 45 degrees.
By substituting the calculated value of v into the range formula with θ as 45 degrees, we can find the new range.