Ball's Acceleration: How to Calculate with Initial and Final Time and Height

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Homework Help Overview

The discussion revolves around calculating the acceleration of a ball using initial and final time and height, specifically through the application of kinematic equations.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of the equation s = ut + (1/2)at², with attempts to define variables such as initial velocity (u) and how height (h) relates to position at different times. Questions arise regarding the correct interpretation of initial conditions and the relationship between variables.

Discussion Status

Some participants have provided insights into the application of kinematic equations, while others express confusion about specific aspects of the problem. There is an ongoing exploration of the definitions and relationships between the variables involved.

Contextual Notes

Participants are navigating through the implications of using initial velocity as zero and how that affects their calculations. There is also mention of a potential misunderstanding regarding the relationship between height and the positions at different times.

mohdakram
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The question is attached.
The correct answer is D

I got it as C first using the equation s=ut+1/2 a t^2
I took s as h, and t= (t2-t1)

I put u=0, which I discovered isn't correct. I then tried putting u=at1 and got a complex equation and got stuck there.
 

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You need to understand that the equation

s = ut + (1/2)at2

gives the position of the object at any time t. In other words, you give me the time and I will use the equation to find the position of the object. So

1. At time t1 the object is at s1 = ut1 + (1/2)at12

2. At time t2 the object is at s2 = ut2 + (1/2)at22

What is u? How is h related to s1 and s2?
 
Last edited:
I'm sorry, I still don't get it. How do you solve this question?
 
What part exactly of my previous posting don't you get?
 
I finally found it. I used this equation

s=h
u=at1
v=at2
t=(t2-t1)

[tex]\frac{s}{t}[/tex]=[tex]\frac{u+v}{2}[/tex]
 

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