Finding Acceleration of Gravity of Fictional Planet

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SUMMARY

The discussion centers on calculating the acceleration of gravity on the fictional planet Zircon based on a problem involving projectile motion. An astronaut tosses a rock horizontally at 6.95 m/s, which falls 1.4 m vertically and lands 8.75 m away. The correct acceleration of gravity is determined to be 1.77 m/s², derived from the relationship between distance, time, and acceleration in projectile motion. The initial calculations mistakenly assumed constant speed rather than accounting for acceleration.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Basic algebra for solving equations
  • Knowledge of horizontal and vertical motion components
NEXT STEPS
  • Study kinematic equations for projectile motion
  • Learn how to derive acceleration from distance and time
  • Explore examples of horizontal projectile motion problems
  • Review concepts of gravity and its effects on motion
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Students preparing for physics exams, educators teaching projectile motion, and anyone interested in understanding gravitational effects on motion in fictional scenarios.

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In preparation for my upcoming first exam I was doing all of the suggested problems throughout the chapters. Everything was fine until this problem:

Homework Statement


An astronaut on the planet Zircon tosses a rock horizontally with a speed of 6.95m/s. The rock falls through a vertical distance of 1.4m and lands a horizontal distance of 8.75m from the astronaut. What is the acceleration of gravity on Zircon?


Homework Equations


Distance=speed x time
Speed=distance/time


The Attempt at a Solution



8.75m/6.95m/s=1.26s

1.4m/1.26s=1.11m/s

Now, I thought this was correct but according to the back of the book the answer is 1.77m/s which would be 1.4*1.26. Am I misunderstanding something?
 
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You found the speed of the rock if it fell at a constant speed. You are meant to find the acceleration of the rock. You need to use an equation that relates time, distance and acceleration.
 
Are you doing projectile motion?
 

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