Solving for Vertical Projectile Motion: Maximum Height, Time, Speed Formulas

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Homework Help Overview

The discussion revolves around a vertical projectile motion problem involving a ball thrown upward with an initial speed. Participants are exploring the relevant kinematic equations to determine maximum height, time to reach the highest point, time to return to the ground, and final speed upon return.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss basic kinematic equations and the nature of vertical motion, questioning the acceleration due to gravity and its implications on the motion of the ball. There are attempts to clarify the meaning of variables in the equations.

Discussion Status

Some participants have provided equations that may be relevant to solving the problem, while others are seeking clarification on the definitions of variables and the concepts involved. There is a mix of confidence and uncertainty among participants regarding the application of the equations.

Contextual Notes

Participants note the influence of gravity on the motion, with some approximating the acceleration due to gravity as -10 m/s² for simplicity. There is also mention of the problem's parabolic nature, indicating a conceptual understanding of the trajectory involved.

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A ball is thrown vertically upward with a speed of 25.0 m/s. (a) How high does it rise? (b) How long does it take to reach its highest point. (c) How long does it take to hit the ground after it reaches its highest point? (d) What is its speed when it returns to the level from which it started?

What forumulas/equations should I use to use to solve each of those questions?
 
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Do you know any basic kinematic equations? What kind of motion is a vertical throw? What is the acceleration?
 
The force of gravity is the only force that will act upon the object.
g=(-9.8m/s^2)

You can use Y=Yo+Voyt+.5(g)(t)^2 to calculate the height and the time.

Use Vy=Vyo+gt to solve for the time.
 
Btw, I think those are the correct equations lol. I'm new to Physics myself. Just remember that the velocity decreases 10m/s each second because of gravity. So if you throw an object up 40m/s it would take 4 seconds for it to reach it's highest point because the velocity decreases 10m/s each second.

g= -9.8m/s^2 , rounded= -10m/s^2
 
I see.. What does y represent?

EDIT: nvm, I found it in the book.
 
Last edited:
Just think of y as the y-axis or the height and x as the x axis(horizontal) or the displacement, distance.
 
Also the time it takes to hit the ground from the highest point. Think of the problem as a parabola.. Well an upside down parabola. =]
 

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