Projectile Motion: Height of hammer thrown downwards

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SUMMARY

The discussion centers on calculating the height of a hammer thrown downward at an initial velocity of 4.6 m/s from a height of 9.5 m after 0.75 seconds. The key takeaway is the importance of maintaining precision in intermediate calculations to avoid rounding errors, which can affect the final result. Participants emphasized that significant figures should only be applied to the final answer, not during the calculation process. The thread title was also modified for clarity, highlighting the specific problem addressed.

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  • Understanding of kinematic equations in physics
  • Familiarity with significant figures and rounding rules
  • Basic knowledge of projectile motion concepts
  • Ability to perform calculations involving time, velocity, and height
NEXT STEPS
  • Review kinematic equations for uniformly accelerated motion
  • Study the impact of rounding errors in scientific calculations
  • Learn about the principles of projectile motion in detail
  • Practice solving problems involving initial velocity and height
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Students studying physics, educators teaching kinematics, and anyone interested in mastering projectile motion calculations.

aatari
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Hey Guys, I have attempted the question below and need someone to check my work, please.

Thanks!

1. Homework Statement

If the hammer was tossed downward at 4.6 m/s from a height of 9.5 m above ground level, how high would it be after 0.75 s?

Homework Equations

The Attempt at a Solution


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Your result turned out okay. However, you should avoid rounding intermediate values to the number of significant figures. Keep a few extra digits in intermediate values, and only round your results at the end. Otherwise, rounding/'truncation errors will creep into your significant figures by the end of the calculations.

I'm changing your thread title to make it more descriptive of the problem being asked. Too-general thread titles, such as "Projectile motion" are not allowed as it is impossible to differentiate one such thread from another by thread title.
 
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