Final answer:
To calculate the initial speed of a ball thrown at a 40° angle to reach a max height of 10 m, the kinematic equations for projectile motion are used, with the effect of gravity and known launch angle accounting for zero vertical velocity at the peak.
Step-by-step explanation:
To determine the initial speed of a ball thrown at a 40° angle that reaches a maximum height of 10 m, we can use the kinematic equations for projectile motion. Assuming the acceleration due to gravity (g) is 9.81 m/s², we know that at the maximum height, the vertical component of the velocity (Vy) is zero. We can use the equation Vy² = Vi²sin²(θ) - 2gh, where h is the maximum height, Vi is the initial speed, and θ is the launch angle. Rearranging the equation to solve for Vi and substituting the given values, we can calculate the initial speed required to reach the desired height.