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

(II) A baseball is hit almost straight up into the air with aspeed of about 20 $\mathrm{m} / \mathrm{s}$ . (a) How high does it go? (b) Howlong is it in the air?

a) $20 \mathrm{m}$b) $t=4$ seconds

Physics 101 Mechanics

Chapter 2

Describing Motion: Kinematics in One Dimension

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Cornell University

Hope College

University of Sheffield

University of Winnipeg

Lectures

04:16

In mathematics, a proof is…

04:48

In mathematics, algebra is…

04:09

(II) A baseball is hit nea…

06:27

A foul ball leaves the bat…

05:16

(II) A baseball is seen to…

01:16

If a baseball is hit with …

04:28

A ballplayer standing at h…

05:46

(II) A 145-g baseball is d…

03:44

(II) A 145 -g baseball is …

16:33

(III) A baseball is seen t…

02:45

03:14

You toss a ball straight u…

00:41

A batter hits a pop-up str…

03:51

(II) A ballplayer catches …

03:02

(II) A baseball is hit wit…

04:57

04:27

04:29

A ball is thrown verticall…

07:54

02:38

(a) If a flea can jump str…

02:51

02:27

A tennis ball is thrown st…

So here we want to find the why, Max, we're gonna choose upwards to be positive. And we're gonna say that the Y initial is gonna be zero meters because we're starting at the ground. And then my final would be, of course, our maximum height so we can save the final squared equals V initial squared, plus two times G delta y. The only acceleration acting on the ball would, of course, be the acceleration due to gravity. And so delta Y is going to be equal to velocity. Final squared minus philosophy initial squared, divided by two times cheap. We know that the final velocity at the maximum height is gonna be zero. So this will be equal to negative 20 meters per second quantity squared, divided by two times negative, 9.8 meters per second squared. And this is equaling 20 meters at this point. Ah, this would be that. Why Max And they want to find the total time of flight. So in order to find the total time of flight, we're actually going to say that Ah, we're going to use We can use the displacement of zero for the displacement of the ball. returning to the height from which was hit. So we know that the ball reaches a maximum height, hits zero velocity and then comes back down. However, if it goes up and comes back down, this means that the final velocity of the ball is, of course, the final star the final. Why? Position of the ball is, of course, zero. Because it it ah reached the same Why position as it did when it started. So we can say why initial equals y final equals the rather my initial equals y final plus V Why initial t plus 1/2 A t squared. Ah, we're going to say that t is gonna be equal to be why initial plus 1/2 a t and this is going to equal zero. Um, so we're basically factoring out a t. So basically, tea's gonna equal zero seconds. Um, and again, these are going to be 00 So therefore, um, we can say that the why initial plus 1/2 of a T is going to equal zero I'm again. The only acceleration due the only acceleration here would be the acceleration due to gravity. So this a becomes G and we can say that T is gonna equal. Uh, negative v y initial divided Rather negative, too. The u R initial divided by G and this is equaling negative. Two times negative, 20 other quality. Negative. Two times 20 meters per second. Divided by negative 9.8 meters per second squared and T is equaling approximately four seconds. So this would be our final answer for the total time of flight. So again, Tony time again, going up and going down That is 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…

(II) A baseball is hit nearly straight up into the air with a speed of $22 \…

A foul ball leaves the bat going straight up at 23 m/s. (a) How high doe…

(II) A baseball is seen to pass upward by a window 23 $\mathrm{m}$above …

If a baseball is hit with a vertical speed of $30 \mathrm{m} / \mathrm{s}$ a…

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

(II) A 145-g baseball is dropped from a tree 12.0 m above the ground. ($a$) …

(II) A 145 -g baseball is dropped from a tree 13.0 $\mathrm{m}$ above the gr…

(III) A baseball is seen to pass upward by a window with a vertical speed of…

(II) A 145 -g baseball is dropped from a tree 14.0 $\mathrm{m}$ abovethe…

You toss a ball straight up with an initial speed of 20 m/s. How much time d…

A batter hits a pop-up straight up over home plate at an initial velocity of…

(II) A ballplayer catches a ball 3.0 $\mathrm{s}$ after throwing it vertical…

(II) A baseball is hit with a speed of 27.0 m/s at an angle of 45.0$^\circ$.…

(II) A baseball is hit with a speed of 27.0 $\mathrm{m} / \mathrm{s}$ at an …

(II) A baseball is hit with a specd of 27.0 $\mathrm{m} / \mathrm{s}$ at an …

A ball is thrown vertically upward with a speed of $25.0 \mathrm{m} / \mathr…

(III) A baseball is seen to pass upward by a window 28 $\mathrm{m}$ above th…

(a) If a flea can jump straight up to a height of 0.440 m, what is its initi…

(a) If a flea can jump straight up to a height of $0.440 \mathrm{m},$ what i…

A tennis ball is thrown straight up with an initial speed of $22.5 \mathrm{m…

01:08

(II) A car moving in a straight line starts at $x=0$ at $t=0$ .It passes…

12:02

(II) Three vectors are shown in Fig. $38 .$ Their magnitudes are given in ar…

02:39

$\bullet$ A 3.25 g bullet picks up an electric charge of 1.65$\mu C$ as it t…

00:53

For an ideal gas with 9 degrees of freedom, the molar heat capacity at const…

06:44

Cell membranes. Cell membranes (the walled enclosure around a cell) are typi…

04:36

$\bullet$ $\bullet$ Stress on the shinbone. The compressive strength of our …

00:39

(I) What force is needed to accelerate a child on a sled(total mass = 55…

05:22

A fugitive tries to hop on a freight train traveling at aconstant speed …

01:48

What radius must a water drop have for the difference between the inside and…