2 football players who are 20m apart run towards each other. Player 1 runs at 6m/s, his acceleration is 0. Player 2 starts from rest and he accelerates at 4.0m/s When do they collide?

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crmhaske | College Teacher | (Level 3) Associate Educator

Posted on

We can solve this problem using a kinematic equation.

Let `d_1` = distance travelled by player 1

Let `d_2` = distance travelled by player 2



`d_2 = v_(i2)t+0.5a_2t^2`


When the two meet, they will have together travelled 20m:




Using factoring:


Therefore, t=-5 and t=2

Since time cannot be negative, they will meet after they have run for 2 seconds at which point:



Player 1 will have run 12m and player 2 will have run 8m.


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