Projectile motion from the ground

AI Thread Summary
In the discussion on projectile motion, the variable s with a subscript y represents the vertical distance traveled. The gravitational acceleration is noted as -32 ft/s², reflecting the use of feet as the unit of measurement. The solution confirms that the vertical distance is zero at both the start and end of the projectile's trajectory, as both points are at ground level. This reinforces the understanding of vertical motion in projectile problems. The clarification on these points aids in solving the associated homework problem effectively.
Scorry
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Homework Statement



The problem (5.9) and given data is attached.

Homework Equations


All relevant equations are given (5.9).

On (5.9) What does the s subscript y represent? And why does gravity equal -32?

The Attempt at a Solution


The solution is given. This is a scan problem.
 

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They are using the variable s to represent distance (This is a common practice in some texts). So ##s_y## would be the distance in the "y" (vertical) direction. ##32 ft/s^2## is the gravitational acceleration using feet rather than meters for distance.
 
Thank you gneill. Is the distance in the "y" vertical direction 0 because its final position is the ground?
 
Scorry said:
Thank you gneill. Is the distance in the "y" vertical direction 0 because its final position is the ground?
It's 0 at the beginning and end of the trajectory, both at ground level.
 

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