Bert and Ernie get into an altercation, and decide to settle their dispute by a

Question

Bert and Ernie get into an altercation, and decide to settle their dispute by a game of chicken; for this game, they use push-powered scooters. Bert starts 175 m to the West of Ernie. Bert initially accelerates at 0.300 m/s2 for the first 8.00 s, then at 0.180 m/s2 thereafter. Ernie initially accelerates at 0.400 m/s2 for the first 6.00 s, then at 0.160 m/s2 thereafter.

(a) In the event that neither swerves, when and where would they collide?

(b) What would be the speed of one of them relative to the other?

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