What is the Peak Height of a Tennis Ball Shot Upward?

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Homework Help Overview

The problem involves a tennis ball shot vertically upward in an evacuated chamber, with an initial speed of 20 m/s. Participants are tasked with determining the peak height the ball reaches and the time it takes to reach that height, while considering the effects of gravity and neglecting air resistance.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Some participants discuss the relevant equations for free fall and question the understanding of these equations. Others express uncertainty about the concepts and seek clarification on the equations involved.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and sharing their reasoning. Some guidance has been offered regarding the equations used in free fall scenarios, but no consensus has been reached on the specific calculations or outcomes.

Contextual Notes

Participants are working within the constraints of a homework assignment, which may limit the information they can access or the methods they can use. There is also a mention of a home-brew formula that some participants are using, which may not align with standard approaches.

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Homework Statement



A tennis ball is shot vertically upward in an evacuated chamber(neglect air resistance) with an initial speed of 20m/s at time t=0s.

How high does the ball rise?

A)98.0m
B)72.4m
C)20.4m
D)10.2m
E)40.8m


Approximately how long does it take the tennis ball to reach its maximum height?

A)4.08s
B)9.08s
C)0.50s
D)6.08s
E)2.04s

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
What are your thoughts and your equations regarding this matter?
 
Its a freefall question regarding physics
 
And what do you know about free fall questions regarding physics? What are the relevant equations?
 
Dont know anything. Would you mind?
 
Leo34005 said:

Homework Statement



A tennis ball is shot vertically upward in an evacuated chamber(neglect air resistance) with an initial speed of 20m/s at time t=0s.

How high does the ball rise?

A)98.0m
B)72.4m
C)20.4m
D)10.2m
E)40.8m


Approximately how long does it take the tennis ball to reach its maximum height?

A)4.08s
B)9.08s
C)0.50s
D)6.08s
E)2.04s

Homework Equations





The Attempt at a Solution





I learn the reasoning behind the equations, this let's you forget the equations formal setup while still being able to work it out

initial speed/gravity = time it takes to reach the top
so in this particular one it would be

20 divided by 9.8 (constant acceleration caused by gravity)

That gives you your time

Take the time that you got and times it by the initial velocity and divide it by 2

(2.04 * 20) / 2

now this is a home-brew formula that i use to save some time when I don't need to be exact, itll be 0.1 off or somewhere around that area so if you need it to be exact then you need to do

(20*2.04)-(4.9*2.042)

20 is the initial velocity as he throws it up

2.04 is the time it takes for it to reach the top

4.9 is half of 9.8, which is the acceleration caused by gravity

the formula is

ymax = Velocityinitial*Time - 1/2Acceleration*Time2

Hope this amatuer helped out a bit.

Rise = C
Time = E
 

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