Answer :
Final answer:
To determine the initial speed of the ball, we use the horizontal range formula and plug in the given values to find that the initial speed is approximately 566.946 m/s.
Explanation:
To determine the initial speed of the ball, we can use the horizontal range formula:
R = V0 * cos(theta) * t
where R is the range (4000 m), V0 is the initial speed, theta is the angle of projection (45 degrees), and t is the time of flight (10 s).
Plugging in the given values:
4000 = V0 * cos(45) * 10
Simplifying the equation:
V0 = 4000 / (10 * cos(45)) = 4000 / (10 * 0.7071) = 4000 / 7.071 = 566.946
Therefore, the initial speed of the ball is approximately 566.946 m/s.
Learn more about Determining initial speed of a projectile here:
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