Just started my physics class. Already

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SUMMARY

The discussion focuses on solving a physics problem involving projectile motion, specifically a tiger leaping horizontally from a height of 5.5 meters with an initial velocity of 3.1 m/s. The key equations for this scenario are the horizontal position equation \(x = v_{0} \, t\) and the vertical position equation \(y = h - \frac{g \, t^{2}}{2}\). To find the horizontal distance the tiger will land from the base of the rock, one must first calculate the time of flight using the vertical motion equation. The time variable is consistent across both horizontal and vertical components, allowing for the calculation of the total horizontal distance.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Knowledge of vertical and horizontal motion decomposition
  • Basic grasp of gravitational acceleration (g = 9.81 m/s²)
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  • Study the derivation and application of kinematic equations in projectile motion
  • Learn how to calculate time of flight in free fall scenarios
  • Explore horizontal and vertical motion decomposition techniques
  • Practice solving similar physics problems involving projectile motion
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Students in introductory physics courses, educators teaching projectile motion concepts, and anyone seeking to enhance their problem-solving skills in physics.

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Just started my physics class. Already need help!

Homework Statement


A tiger leaps horizontally from a 5.5 m high rock with a speed of 3.1 m/s.
So I know
Height=5.5 meters
Initial Velocity=3.1 m/s

Homework Equations


How far from the base of the rock will she land?

The Attempt at a Solution


I honestly have no idea how to attempt this problem. The only equation I can think of is requires me to know what theta is to find the distance and I don't know how to find it. I don't want an answer I just want to know how I'd go about finding it.
 
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Well you know that [itex]d = (Vi)t + 1/2(at^2)[/itex] right? Remember that time is the variable that is the same in both the horizontal and vertical decomposition of the 2d movement and in free fall all other variables can be treated independently in the vertical and horizontal decomposition. If you can find the time for the vertical then you can use this same time to find the total distance traveled along the horizontal with the same equation but, again, for the horizontal component.
 


The position-time equations for a horizontal hit are:
[tex] \begin{array}{l}<br /> x = v_{0} \, t \\<br /> <br /> y = h - \frac{g \, t^{2}}{2}<br /> \end{array}[/tex]

To this, you need to translate the information given in the problem in terms of math. What condition has to be fulfilled (in terms of the coordinates) for the tigar to hit the ground? What coordinate measures the distance from the base? What variable has to be eliminated from the two equations?
 

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