Book edition 9th Edition

Author(s) Raymond A. Serway, John W. Jewett

Pages 1624 pages

ISBN 9781133947271

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Short Answer

Mayan kings and many school sports teams are named for the puma, cougar, or mountain lionFelis concolor the best jumper among animals. It can jump to a height of $12.0 ft$ when leaving the ground at an angle of $45.0 °$ . With what speed, in units, does it leave the ground to make this leap?

The initial velocity of the speed is $v_{i} = 12 m / s$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Definition of initial velocity.

The initial velocity, denoted by $u$ , is the velocity at time interval $t = 0$ . It's the speed at which the motion begins.
The starting velocity is articulated as $u = v - a t$ if time, acceleration, and final velocity are provided.
Where $u$ is the initial velocity , $v$ is the final velocity,is the time taken, and $a$ is the acceleration

Step 2: Find the time required to reach this height.

Given data,

$y_{\max} = 12 ft y_{\max} = \frac{12}{3.28} y_{\max} = 3.66 m$

First, we need to find the time required to reach this height which we get by using this equation:

$v_{y f} = v_{y i} + a_{y} t$

Solving $t$ for taking into account that at the maximum height $v_{y} = 0$ and $a = - g :$

$t = \frac{v_{y f} - v_{y i}}{a_{y}} t = \frac{0 - v_{y i}}{- g} t = \frac{v_{y i}}{g}$

Step 3: Find the vertical displacement.

Then, we need to find the vertical displacement made in this time by using the following equation:

$y_{\max} = v_{y, a v g} t y_{\max} = (\frac{v_{y i} + v_{y f}}{2}) t y_{\max} = (\frac{v_{y i}}{2}) (\frac{v_{y i}}{g}) y_{\max} = \frac{v_{y i}^{2}}{2 g}$

Step 4: Determine the initial velocity.

By knowing the angle of projection , we can find the initial velocity by using the following relation:

Therefore, the initial velocity of the speed is $v_{i} = 12 m / s$ .

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Physics For Scientists & Engineers

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Short Answer

Mayan kings and many school sports teams are named for the puma, cougar, or mountain lionFelis concolor the best jumper among animals. It can jump to a height of $12.0 ft$ when leaving the ground at an angle of $45.0 °$ . With what speed, in units, does it leave the ground to make this leap?

Step by Step Solution

Step 1: Definition of initial velocity.

Step 2: Find the time required to reach this height.

Step 3: Find the vertical displacement.

Step 4: Determine the initial velocity.

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Physics For Scientists & Engineers

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Short Answer

Mayan kings and many school sports teams are named for the puma, cougar, or mountain lionFelis concolor the best jumper among animals. It can jump to a height of 12.0 ftwhen leaving the ground at an angle of 45.0°. With what speed, in units, does it leave the ground to make this leap?

Step by Step Solution

Step 1: Definition of initial velocity.

Step 2: Find the time required to reach this height.

Step 3: Find the vertical displacement.

Step 4: Determine the initial velocity.

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Mayan kings and many school sports teams are named for the puma, cougar, or mountain lionFelis concolor the best jumper among animals. It can jump to a height of $12.0 ft$ when leaving the ground at an angle of $45.0 °$ . With what speed, in units, does it leave the ground to make this leap?