Rugby Player Problem: Solve for Time to Tackle

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SUMMARY

The problem involves two rugby players tackling each other from a distance of 37 meters. One player accelerates from rest at 0.5 m/s², while the other maintains a constant speed of 3.1 m/s. To determine the time until they collide, the equations for distance covered by each player as a function of time must be established. The separation distance is expressed as s = 37 - (d1(t) + d2(t)), where d1(t) and d2(t) represent the distances covered by each player over time.

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Homework Statement


two rugby players are running toward each other. They are 37 m apart. if one accelerates from rest at 0.5m/s2 and the other was already moving at 3.1 m/s and maintains his speed,

a) How long before they tackle each other?


This question is annoying me so much right now, I found 2 archived solutions to the problem, but they don't explain in enough detail, so I'm just re-posting it so that I may know how to solve it.
 
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badsniper said:

Homework Statement


two rugby players are running toward each other. They are 37 m apart. if one accelerates from rest at 0.5m/s2 and the other was already moving at 3.1 m/s and maintains his speed,

a) How long before they tackle each other?This question is annoying me so much right now, I found 2 archived solutions to the problem, but they don't explain in enough detail, so I'm just re-posting it so that I may know how to solve it.
Write out the equation for distance covered by each runner as a function of time. Then write out the equation for separation as a function of those distances ie: s = 37 - (d1(t) + d2(t)). What is the value of s when they collide? Work out t from that.

AM
 
Andrew Mason said:
Write out the equation for distance covered by each runner as a function of time. Then write out the equation for separation as a function of those distances ie: s = 37 - (d1(t) + d2(t)). What is the value of s when they collide? Work out t from that.

AM

Sorry, but I don't understand what you mean by "Function of time", or function of distances, I was attempting to solve it using the linear kinematics equations.
 

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