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33. If air resistance is negligible, the distance between the base of the cliff and the place where the object reaches the ground is most nearly \( \begin{array}{ll}\text { A) } 50 \mathrm{~m} & \text { B) } 60 \mathrm{~m} \\ \text { C) } 150 \mathrm{~m} & \text { D) } 180 \mathrm{~m}\end{array} \) \( \begin{array}{ll}\text { E) } 90 \mathrm{~m} & \text { Beff of a cliff that is } 180 \mathrm{~m} \text { above level ground. } \\ \text { 34. If air resistance is negligible, the time it takes the } \\ \text { object to reach the ground is most nearly } \\ \text { A) } 4 \mathrm{~s} & \text { B) } 5 \mathrm{~s} \\ \text { C) } 6 \mathrm{~s} & \text { D) } 7 \mathrm{~s} \\ \text { E) } 8 \mathrm{~s}\end{array} \) \( \begin{array}{ll}\text { 35. An object is thrown horizontally off of a } 125 \mathrm{~m} \text { high } \\ \text { cliff above level ground with an initial velocity of } 15 \\ \text { m/s. If air resistance is negligible, the distance from } \\ \text { the base of the cliff to the point where the object } \\ \text { lands is most nearly } & \text { B) } 45 \mathrm{~m} \\ \text { A) } 25 \mathrm{~m} & \text { D) } 90 \mathrm{~m}\end{array} \) \( \begin{array}{ll}\text { E) } 150 \mathrm{~m} & \end{array} \)

Ask by Frank Mitchell. in the United States
Feb 04,2025

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**Problem 33:** - **Answer:** E) 90 m **Problem 34:** - **Answer:** C) 6 s **Problem 35:** - **Answer:** D) 90 m

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Did you know that the study of projectile motion dates back to ancient Greece? Notably, Aristotle and later Galileo conducted experiments that laid the groundwork for our understanding of how objects move through space under the influence of gravity. Their observations and methodologies led to key principles that we still use in physics today, like the concept that horizontal and vertical motions are independent of each other. This historically significant insight helps explain how an object thrown from a height travels in a parabolic path. In real-world applications, understanding projectile motion is crucial for various fields— from engineering to sports science. For instance, architects use the principles of physics to design safe structures like bridges and slides that must account for gravitational effects. Similarly, athletes leverage knowledge of projectile motion to enhance their performance in sports like basketball or javelin throw, where the angles and velocities at which they launch an object can significantly influence the outcome.

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33. If air resistance is negligible, the distance between the base of the cliff and the place where the object reaches the ground is most nearly \( \begin{array}{ll}\text { A) } 50 \mathrm{~m} & \text { B) } 60 \mathrm{~m} \\ \text { C) } 150 \mathrm{~m} & \text { D) } 180 \mathrm{~m}\end{array} \) \( \begin{array}{ll}\text { E) } 90 \mathrm{~m} & \text { Beff of a cliff that is } 180 \mathrm{~m} \text { above level ground. } \\ \text { 34. If air resistance is negligible, the time it takes the } \\ \text { object to reach the ground is most nearly } \\ \text { A) } 4 \mathrm{~s} & \text { B) } 5 \mathrm{~s} \\ \text { C) } 6 \mathrm{~s} & \text { D) } 7 \mathrm{~s} \\ \text { E) } 8 \mathrm{~s}\end{array} \) \( \begin{array}{ll}\text { 35. An object is thrown horizontally off of a } 125 \mathrm{~m} \text { high } \\ \text { cliff above level ground with an initial velocity of } 15 \\ \text { m/s. If air resistance is negligible, the distance from } \\ \text { the base of the cliff to the point where the object } \\ \text { lands is most nearly } & \text { B) } 45 \mathrm{~m} \\ \text { A) } 25 \mathrm{~m} & \text { D) } 90 \mathrm{~m}\end{array} \) \( \begin{array}{ll}\text { E) } 150 \mathrm{~m} & \end{array} \)
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