Three balls are thrown upward with the same initial speed, vi, but at different angles relative

step 1 In this video we are going to focus on the given information where three balls of the same initi

Three balls are thrown upward with the same initial speed,...

Three balls are thrown upward with the same initial speed, $v_{\mathrm{i}}$, but at different angles relative to the horizontal, as shown in Figure 6.13. Ignoring air resistance, indicate which of the following statements $(A, B, C$, or $D)$ is correct when the balls are at the dashed level? A. Ball 3 has the lowest speed. B. Ball 1 has the lowest speed. C. All three balls have the same speed. D. The speed of the balls depends on their mass.

Three balls are thrown upward with the same initial speed, $v_{\mathrm{i}}$, but at different angles relative to the horizontal, as shown in Figure 6.13. Ignoring air resistance, indicate which of the following statements $(A, B, C$, or $D)$ is correct when the balls are at the dashed level?
A. Ball 3 has the lowest speed.
B. Ball 1 has the lowest speed.
C. All three balls have the same speed.
D. The speed of the balls depends on their mass.

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Key Concepts

Conservation of Mechanical Energy

In mechanics, when air resistance is negligible, the total mechanical energy (the sum of kinetic and potential energy) of a projectile remains constant throughout its flight. This principle allows one to calculate the speed of a projectile at any given height solely based on its initial speed and the change in gravitational potential energy, independent of the angle of projection.

Projectile Motion

Projectile motion refers to the two-dimensional motion of objects thrown or projected into the air, subject only to the acceleration due to gravity. The horizontal component of the velocity remains constant, while the vertical component decreases and then increases due to gravity. However, the overall speed at a given height is determined by the conservation of energy, leading to identical speeds for projectiles launched with the same initial speed at different angles when they reach the same vertical position.

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