/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 19 A stone is dropped from the top ... [FREE SOLUTION] | 91影视

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Chapter 2: Problem 19

A stone is dropped from the top of the tower and reaches the ground in \(3 \mathrm{~s}\). Then the height of the tower is \(\left(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\right)\) (A) \(18.6 \mathrm{~m}\) (B) \(39.2 \mathrm{~m}\) (C) \(44.1 \mathrm{~m}\) (D) \(98 \mathrm{~m}\)

Short Answer

Expert verified
The height of the tower is 44.1 meters (C). This was determined by using the equation of motion \(h = ut + \frac{1}{2}gt^2\), where h is the height of the tower, u is the initial velocity (0 m/s as the stone is dropped), t is the time taken (3 seconds), and g is the acceleration due to gravity (9.8 m/s虏).

Step by step solution

01

Identify the given information

We are given the following information: - Time (t): 3 seconds - Acceleration due to gravity (g): 9.8 m/s虏
02

Recall the equations of motion

We will be using the third equation of motion which relates distance, initial velocity, acceleration, and time: \[h = ut + \frac{1}{2}gt^2\] Here, h: distance or height of the tower u: initial velocity, which is 0 m/s as the stone is dropped t: time taken, 3 seconds g: acceleration due to gravity, 9.8 m/s虏
03

Plug in the given values and solve for h

Plugging in the values, we get: \[h = (0)(3) + \frac{1}{2}(9.8)(3)^2\] Simplify the equation by calculating the values inside the brackets: \[h = 0 + \frac{1}{2}(9.8)(9)\] Calculate the value for h: \[h = 4.9 (9)\] \[h = 44.1\]
04

Compare the answer with the given options

The calculated height of the tower is 44.1 meters, which is equal to option (C). Therefore, the correct answer is (C) 44.1 meters.

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