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Spectrum47
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Rugby Player Collision Question--
Two rugy players are running towards each other. They are 37 m apart. If one is accelerating from rest at 0.5m/s² and the other was already moving at 3.1 m/s and maintains her speed,
a) how long before they crunch together?
b) how fast was the accelerating player going?
c) how far has each player run?
In this situation: The five equations of linear kinematics
v2 = v1 + a∆t
∆d = ½(v2 + v1)∆t
∆d = v1∆t + ½a∆t²
∆d = v2∆t - ½a∆t²
v2² = v1² + 2a∆d
37-d= a(d/v)²/2
37-d= a(d²/v²)/2
74-2d= a(d²/v²)...
And I trailed off from there as I was confused. Now I know you may have to isolate the displacement in this case, however I have not yet encountered a question like this before and it was not clearly explained to me beforehand. Hopefully I'll know what to do through these forums.
Homework Statement
Two rugy players are running towards each other. They are 37 m apart. If one is accelerating from rest at 0.5m/s² and the other was already moving at 3.1 m/s and maintains her speed,
a) how long before they crunch together?
b) how fast was the accelerating player going?
c) how far has each player run?
Homework Equations
In this situation: The five equations of linear kinematics
v2 = v1 + a∆t
∆d = ½(v2 + v1)∆t
∆d = v1∆t + ½a∆t²
∆d = v2∆t - ½a∆t²
v2² = v1² + 2a∆d
The Attempt at a Solution
37-d= a(d/v)²/2
37-d= a(d²/v²)/2
74-2d= a(d²/v²)...
And I trailed off from there as I was confused. Now I know you may have to isolate the displacement in this case, however I have not yet encountered a question like this before and it was not clearly explained to me beforehand. Hopefully I'll know what to do through these forums.
