A bird flying eastward through the sky suddenly drops a peanut it was carrying. Which of the following best represents the peanut's path as it falls as seen by an observer on the ground? (Neglect air resistance.)
The peanut will fall straight down as observed from the ground.
When the bird drops the peanut while flying eastward, the peanut retains the eastward horizontal velocity of the bird but begins to fall vertically due to gravity. As it descends, its horizontal motion continues, resulting in a parabolic trajectory relative to the ground observer, but it will appear to fall straight down if viewed from the ground because the horizontal distance covered during the fall is minimal compared to the vertical drop.
This option suggests that the peanut falls back towards the bird, which is incorrect. The peanut, once released, does not retain any upward motion and cannot reverse direction. Instead, it continues to move horizontally at the same speed as the bird while falling downward, leading to a straight downward path relative to the observer.
This option accurately represents the peanut's path as it falls. The peanut will move downward while maintaining its eastward velocity, creating a parabolic path. However, from the perspective of the ground observer, it appears to fall directly downward due to the rapid vertical motion compared to horizontal distance traveled.
This option depicts a trajectory that curves upward, which is not possible in this scenario. Once released, the peanut does not gain any upward velocity and will not ascend after being dropped; it will only move downward under the influence of gravity.
This choice suggests an exaggerated horizontal motion of the peanut, implying that it moves significantly forward while falling. While it does have horizontal motion, the primary motion is downward due to gravity, and the horizontal distance covered while falling is relatively small compared to the vertical drop.
When the bird drops the peanut, the peanut will fall vertically downward while simultaneously moving horizontally at the bird's speed. The observer on the ground perceives this motion as straight down due to the immediate effect of gravity. The correct representation of this motion is illustrated in option B, as it captures the essence of the peanut's descent relative to the observer's perspective.
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