A hockey player is standing on his skates on a frozen pond when anopposing playe

Question

A hockey player is standing on his skates on a frozen pond when anopposing player, moving with a uniform speed of 14 m/s, skates bywith the puck. After 4.0 s, the first player makes up his mind tochase his opponent. If he accelerates uniformly at 4.0m/s2, determine each of the following. (a) How long does it take him to catch hisopponent? (Assume the player with the puck remains in motion atconstant speed.)
s

(b) How far has he traveled in that time?
2 m (a) How long does it take him to catch hisopponent? (Assume the player with the puck remains in motion atconstant speed.)
s

(b) How far has he traveled in that time?
2 m

Explanation / Answer

a) v = 14 m/s, t = 4.0 s, a = 4.0 m/s2 after time t', the displacement of the first player isat'2/2 after time t', the displacement of the second player is v(t +t') when they meet, at'2/2 = v(t + t') 2t'2 = 14(4 + t') t'2 - 7t' - 28 = 0 t' = 9.84 s b) at'2/2 = 194 m

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