A stone is thrown from the top of a building upward at an angle of 26.0° to the horizontal with an initial speed of 21.0 m/s as shown in the figure. The height from which the stone is thrown is 45.0 m above the ground. (0, 0) 45.0 m y-45.0 m A stone is thrown from the top of a building.

A stone is thrown from the top of a building upward at an angle of 26.0° to the horizontal with an initial speed of 21.0 m/s as shown in the figure. The height from which the stone is thrown is 45.0 m above the ground. (0, 0) 45.0 m y-45.0 m A stone is thrown from the top of a building.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 21P: A playground is on the flat roof of a city school, 6.00 m above the street below (Fig. P3.21). The...

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Concept explainers

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

Express the vertical position of the stone from the particle under constant acceleration model (Use the following as necessary: v_yi, g, and t. Do not substitute numerical values; use variables only.):

y_f = y_i + _ __

-45.0m = 0 + (9.21 m/s)t + 1/2 ( -9.80)t^2

Solve the quadratic equation to calculate t (in s):

t =

Use the velocity equation in the particle under constant acceleration model to obtain the y-component of the velocity of the stone just before it strikes the ground (Use the following as necessary: v_yi, g, and t. Do not substitute numerical values; use variables only.):

v_yf = v_yi − _________

Substitute numerical values (Enter your answer in m/s.):

v_yf =

Use this component with the horizontal component v_xf = v_xi = 18.9 m/s to find the speed of the stone (in m/s) at t:

vf = sqrt(v_xf² + v_yf²

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A stone is thrown from the top of a building upward at an angle of 26.0° to the horizontal with an initial speed of 21.0 m/s as shown in the figure. The height from which the stone is thrown is 45.0 m above the ground.
(0, 0)
45.0 m
x = ?
y=- 45.0 m
A stone is thrown from the top of a building.
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5/16/2021
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