Question

A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 2.0 m/s, skates by with the puck. After 1.20 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 0.40 m/s2, determine each of the following. (a) How long does it take him to catch his opponent? (Assume the player with the puck remains in motion at constant speed.) s (b) How far has he traveled in that time? m

Answer 1

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1st player - 2nd player lazoam 2 nec m sec a) let In time t 1st player catches and player. O q=0.4m q=0 ca sec d=2x12= 2.4m U₂1 = Initial velocity of ③ wort 0 = 2-0 = 2 2 a = Acceleration of wort. = A2-a1=0-a, = -0.4 In trame relative to o Rest ..-d=axt - x 0.4x t² - 2.4= 2t -0.2t² > 0.2t²- 2t-2.4=0 on solving? t = 11.0827 sec ) Anwer 6) Distance travelled, S= ut tŁat² =0 +2+ (0.4) (11.0827) 2 =24.565m) >