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

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A ball thrown vertically upward at 25.0 m/s will reach a maximum height calculated using the kinematic equation Y = Yo + Voyt + 0.5(g)(t)^2, where g is -9.8 m/s². The time to reach the highest point can be determined with Vy = Vyo + gt, noting that velocity decreases by approximately 10 m/s each second due to gravity. The total time for the ball to return to the ground after reaching its peak is double the ascent time. The speed upon returning to the starting level will equal the initial speed of 25.0 m/s, assuming no air resistance. Understanding these principles of vertical projectile motion is essential for solving related physics problems.
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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.
 
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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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