Projectiles 1 and 2 are launched from level ground at the same time and follow the trajectories shown in the figure. Which one of the projectiles, if either, returns to the ground first, and why?
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Projectiles 1 and 2 are launched from level ground at the same time and follow the trajectories shown in the figure. Which one of the projectiles, if either, returns to the ground first, and why?
| Step | Derivation/Formula | Reasoning |
|---|---|---|
| 1 | The time of flight for each projectile is determined by the vertical component of the initial velocity . | |
| 2 | Projectile 1: Higher | From the trajectory shape, Projectile 1 reaches a higher height indicating a greater initial vertical velocity . |
| 3 | Projectile 2: Lower | Projectile 2 has a flatter trajectory, suggesting a smaller initial vertical velocity . |
| 4 | Since the time of flight depends on the initial vertical velocity, and Projectile 1 has a larger , it stays in the air longer. |
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