Homework questions, help or hints much appreciated =D

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SUMMARY

The discussion focuses on solving physics problems related to projectile motion, specifically the maximum height of a ball thrown upward. The initial vertical speed is given as 10.4 m/s with a gravitational acceleration of 9.8 m/s². Participants attempted to calculate the maximum height using the formula d = ViT + 1/2aT² but encountered errors due to neglecting the negative sign for gravitational acceleration. Correctly applying the kinematic equations is essential for accurate results in these scenarios.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of gravitational acceleration (9.8 m/s²)
  • Ability to manipulate algebraic equations
  • Familiarity with projectile motion concepts
NEXT STEPS
  • Study the kinematic equation for maximum height: h = (v0²)/(2g)
  • Learn how to apply the negative sign for gravitational acceleration in calculations
  • Explore the concept of velocity at maximum height in projectile motion
  • Practice solving similar projectile motion problems with varying initial speeds
USEFUL FOR

Students studying physics, educators teaching projectile motion, and anyone seeking to improve their problem-solving skills in kinematics.

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1. A ball is thrown upward. Its initial vertical speed is 10.4 m/s, acceleration of gravity is 9.8 m/s^2, and maximum height hmax are shown in the figure below. What is its height, hmax? Answer in units of m. Neglect: air resistance

For this one I used 3 different formulas in different ways and each answer I got was wrong when I checked it. I divided 10.4 and 9.8 and got .9423076923 for time. Then I plugged that into a distance formula of d=ViT+1/2aT^2 and got 16.55510205 which was wrong.

2.A ball is thrown upward. Its initial vertical speed is v0, acceleration of gravity is 9.8 m/s^2, and maximum height is 5.5 m, as shown in the figure below. What is its initial vertical speed, v0? Answer in units of m/s. Neglect: Air resistance

So since the initial vertical speed is v0 wouldn't the initial velocity just be 0?? And so the answer is 0??
 
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moshilover said:
1. A ball is thrown upward. Its initial vertical speed is 10.4 m/s, acceleration of gravity is 9.8 m/s^2, and maximum height hmax are shown in the figure below. What is its height, hmax? Answer in units of m. Neglect: air resistance

For this one I used 3 different formulas in different ways and each answer I got was wrong when I checked it. I divided 10.4 and 9.8 and got .9423076923 for time. Then I plugged that into a distance formula of d=ViT+1/2aT^2 and got 16.55510205 which was wrong.

Did you plug in the negative sign for gravitational acceleration?

moshilover said:
2.A ball is thrown upward. Its initial vertical speed is v0, acceleration of gravity is 9.8 m/s^2, and maximum height is 5.5 m, as shown in the figure below. What is its initial vertical speed, v0? Answer in units of m/s. Neglect: Air resistance

What does the velocity of the ball equal at the point of the maximum height?
 

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