Uniform acceleration/ catch up question

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SUMMARY

The discussion revolves around a physics problem involving uniform acceleration where Igor, running at 7.0 m/s, is 8.0 meters behind Brian, who starts accelerating at 2.8 m/s² from rest. The key equations used include the formula for distance under uniform acceleration: d = (vi)(t) + 1/2(a)(t²). The participants clarify how to incorporate the initial distance between Igor and Brian into the equations to determine if Igor will catch up and the distance Brian will cover. Ultimately, the solution was found through collaborative input from users Redbelly98 and sean-820.

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saikisen
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Having trouble getting the formula for this question.

1. During a football games, Igor is 8.0m behind Brian and is running at 7.0m/s when Brian catches the ball and starts to accelerate away at 2.8m/s^2 at rest.
Will Igor catch Brian? If so, after how long?
How far down the field will Brian have run?




2. Involves 5 uniform acceleration equations.



3. d= (vi)(t) + 1/2(a)(t^2)
8.0m +(t)(7.0m/s)=d
8.0 + (t)(7.0m/s)=(vi)(t) + 1/2(a)(t^2)?

Getting the formula is really confusing me. I realize that Igor is 8.0m behind Brian but I get confused at that moment where I must insert that into the equation.
 
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