Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$\bullet$ The longest home run. According to the Guinness Book of World Records, the longest home run ever measured was hit by Roy "Dizzy" Carlyle in a minor-league game. The ball traveled 188 $\mathrm{m}(618 \mathrm{ft})$ before landing on the ground outside the ball- park. (a) Assuming that the ball's initial velocity was 45 above the horizontal, and ignoring air resistance, what did the initial speed of the ball need to be to produce such a home run if the ball was hit at a point 0.9 $\mathrm{m}(3.0 \mathrm{ft})$ above ground level? Assume that the ground was perfectly flat. (b) How far would the ball be above a fence 3.0 $\mathrm{m}(10 \mathrm{ft})$ in height if the fence were 116 $\mathrm{m}$ $(380 \mathrm{ft})$ from home plate?

(a) 42.6 $\mathrm{m} / \mathrm{s}$ (b) 41.6 $\mathrm{m}$

Physics 101 Mechanics

Chapter 3

Motion in a Plane

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Cornell University

University of Michigan - Ann Arbor

University of Washington

Hope College

Lectures

04:16

In mathematics, a proof is…

04:48

In mathematics, algebra is…

06:50

The Longest Home Run. Acco…

07:32

According to $Guinness$ $W…

04:00

A home run is hit in such …

03:48

A batter hits a fly ball w…

05:35

04:36

11:55

A ball player hits a home …

12:05

Hitting a baseball under a…

03:41

Barry Bonds hits a home ru…

04:45

Manny Ramírez hits a home …

03:53

When Babe Ruth hit a homer…

05:34

A baseball is hit at Fenwa…

04:28

A ballplayer standing at h…

00:45

A pitched ball is hit by a…

01:53

One of the fastest recorde…

07:33

02:06

The fastest recorded pitch…

03:40

A baseball is hit at groun…

A batter hits a pitched ba…

05:32

A baseball batter hits a l…

So we have a delta y equals negative 0.90 meters. This is going to be the change and height of the of the baseball. If the baseball is hit at initial initial position of 0.90 meters, it's going to fall to the ground which is considered why equals zero meters. So the change and why would it be negative? Because it's traveling down and it would be again negative 0.90 meters Delta acts The horizontal displacement would be 188 meters and then we can say that the theta is 45 degrees and we can use the relationship between wine acts and say why is going to be equal to tangent of theta times X minus two times of the initial co sign of fate a squared ah, for the night for the denominator and that for the numerator GX squared. So, using this, we know that co sign of 45 is going to be Coastline of 45 is going to be radical to over too. So we can say that this is going to be equal to simply acts minus g x over the initial squared. Um, because again. The to hear is going to be canceling out with radical to over two squared and tangent of 45 degrees is going to be equal Teo one. So we can simply say that solving for the initial the initial must equal thiss GX divided by X minus y to the 1/2 power. And this is equally ah, here 9.8 and then for the X will use 188 and then divided by 100 in 88 minus a negative would be plus 880.9 meters all to the 1/2 power. And we're getting that the initial velocity is going to be equal to 42.8 meters per second. Again, this will be your answer for part A. For part being, they're asking us if the there's a fence. No offense AT T at another X equals 116 meters and the fence is three meters so we can find the Y position along the vertical acts on the same vertical access as the fence. By using the relationship and saying that why equals X minus G X divided by the initial squared so we can say this equals to 116 minus. The initial squared would be 42 point eight squared and and for the numerator will have 9.8 times 116. And this is equal in 44 meters. So at so 100. So the if the baseball is 116 meters away from the home plate, it has a why. Position of 44 meters and again that fences three meters. Therefore, the baseball is 41 meters above offense. This would be your answer and that's the end of the solution. Thank you for watching.

View More Answers From This Book

Find Another Textbook

In mathematics, a proof is a sequence of statements given to explain how a c…

In mathematics, algebra is one of the broad parts of mathematics, together w…

The Longest Home Run. According to the Guinness Book of World Records, the l…

According to $Guinness$ $World$ $Records$, the longest home run ever measure…

A home run is hit in such a way that the baseball just clears a wall 21 $\ma…

A batter hits a fly ball which leaves the bat 0.90 m above the ground at an …

A batter hits a fly ball which leaves the bat 0.90 $\mathrm{m}$ above the

A batter hits a fly ball which leaves the bat 0.90 $\mathrm{m}$ above the gr…

A ball player hits a home run, and the baseball just clears a wall $21.0 \ma…

Hitting a baseball under a wind gust $A$ baseball is hit when it is 2.5 $\ma…

Barry Bonds hits a home run so that the baseball just clears the top row of …

Manny Ramírez hits a home run so that the baseball just clears the top row o…

When Babe Ruth hit a homer over the 8.0-m-high rightfield fence 98 m from ho…

A baseball is hit at Fenway Park in Boston at a point 0.762 $\mathrm{m}$ abo…

A ballplayer standing at home plate hits a baseball that is caught by anothe…

A pitched ball is hit by a batter at a $45^{\circ}$ angle and just clears th…

One of the fastest recorded pitches in major league bascball, thrown by Tim …

When Babe Ruth hit a homer over the $8.0-$ m-high right-ficld fence 98 $…

The fastest recorded pitch in Major League Baseball was thrown by Nolan Ryan…

A baseball is hit at ground level. The ball reaches its maximum height above…

A batter hits a pitched ball when the center of the ball is 1.22 $\mathrm{m}…

A baseball batter hits a long fly ball that rises to a height of $44 \mathrm…

02:11

A container ship is traveling westward at a speed of 5.00 $\mathrm{m} / \mat…

01:28

$\cdot$ Mapping the ocean floor. The ocean floor is mapped by sending sound …

01:25

$\bullet$ (a) By what factor must the sound intensity be increased torai…

03:04

$\bullet$ You blow across the open mouth of an empty test tube andproduc…

07:26

$\bullet$ (a) If you supply 1850 $\mathrm{J}$ of heat to 2.25 moles of an id…

06:01

$\bullet$$\bullet$ The stretchy silk of a certain species of spider has a fo…

05:26

$\bullet$ In a volcanic eruption, a 2400 -kg boulder is thrown vertically up…

01:13

$$\begin{array}{l}{\cdot \text { A coal-fired power plant that operates …

03:59

A $\mathbf{A}$ world record. In the shot put, a standard track-and- field ev…

04:33

Forensic science. Forensic scientists can measure the muzzle velocity of a g…