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I'm a physics newbie wondering if I've done this question right. I'll type the question as it is in my assignment along with my interpretation of it.

A hockey player is standing on his skates on a frozen pond when an opposing player skates by with the puck, moving with a constant speed of 12m/s. After 3s, the first player makes up his mind to chase his opponent and starts accelerating uniformly at 4m/s^2. How long does it take him to catch the opponent?

First, I found that after 3 seconds the opposing player (P1) will be 36m away from P2. So I calculated how long it would take P2 to travel 36m at 4m/s^2. But in that length of time P1 would have traveled an additional x number of metres. So I calculated how long it would take P2 to travel those additional x number of meters. I kept doing this until they were (roughly) at the same point.

Strangely, the speed of P2 ended up being some unrealistic amount akin to a speeding car.

Did I do this question correctly?

Thanks to any who try and help. I really appreciate it. :)