Slope Problem: Need Help with a Difficult Equation?

AI Thread Summary
The discussion revolves around solving a slope problem using the equations of motion, specifically the SUVAT equations. Participants emphasize the importance of decomposing motion into x and y components, noting that there is no coupling between the two directions. The equation S=ut+1/2at^2 is highlighted as relevant for calculating motion in the y direction. There is confusion regarding the application of unit vector notation within these equations. Clarification on using simultaneous equations to address two unknown variables is also provided.
megaly
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Homework Statement
A track meet is held on a planet in a distant solar system. A shot-putter releases a shot at a point 2.0 m above ground level. A stroboscopic plot of the position of the shot is shown in the figure, where the readings are 0.56 s apart and the shot is released at time t = 0.

(a) What is the initial velocity of the shot in unit-vector notation?

(b) What is the magnitude of the free-fall acceleration on the planet?

(c) How long after it is released does the shot reach the ground?

(d) If an identical throw of the shot is made on the surface of Earth, how long after it is released does it reach the ground?
Relevant Equations
F=ma
Im really stuck with this problem ! any help would be much appreciated
 

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There are more relevant equations. What are the equations for position and velocity as a function of time?
 
DrClaude said:
There are more relevant equations. What are the equations for position and velocity as a function of time?

you mean the vertical equations ? SUVAT ?
 
megaly said:
you mean the vertical equations ? SUVAT ?
The equations of motion, so SUVAT will do.
 
S=ut+1/2at^2? can that find the acceleration for part B? what confuses me most is unit vector notation I don't understand how you put in into that form
 
megaly said:
S=ut+1/2at^2? can that find the acceleration for part B? what confuses me most is unit vector notation I don't understand how you put in into that form
Decompose the motion into x and y. (There is no coupling between the two.)
 
Because you have two unknown variables, you have to list two equations using basic physics formula for y direction. (simultaneous equation)
megaly said:
S=ut+1/2at^2? can that find the acceleration for part B? what confuses me most is unit vector notation I don't understand how you put in into that form
This form is for y direction.
 
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