Final answer:
To find the initial speed of the ball, we can use the equations of projectile motion. Since the ball was thrown at an angle of 45 degrees to the ground, we can break the initial velocity into its horizontal and vertical components.
Step-by-step explanation:
To find the initial speed of the ball, we can use the equations of projectile motion. Since the ball was thrown at an angle of 45 degrees to the ground, we can break the initial velocity into its horizontal and vertical components. The horizontal component remains constant throughout the motion, while the vertical component changes due to gravity.
Given that the ball lands 30 meters away, we can focus on the horizontal component. The horizontal displacement (x) is equal to the horizontal component of the velocity (v) multiplied by the time of flight (t) of the ball.
Using the equation x = v * t, we can rearrange it to solve for v.
v = x / t = 30 m / t.
Since we don't have the time of flight, we need more information to determine the initial speed of the ball.