A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 3.0 m/s, skates by with the puck. After 1.50 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 0.43 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.) (b) How far has he traveled in that time?

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A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 3.0 m/s, skates by with the puck. After 1.50 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 0.43 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.)

(b) How far has he traveled in that time?
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Step 1

Given

A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 3.0 m/s, skates by with the puck. After 1.50 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 0.43 m/s2, as following below.

 

 

 

 

 

 

 

Step 2

(a)

Here, to find the how long to catch his opponent is as follows:Player 1:x= vt +xo                   Distance travelled by opponent x0= 1.5 s ×3 m/s =4.5v= 3 m/sx=3t +4.5Player 2 who decides to chase is given below:xt =12 a t2Here, acceleration a is 0.43 m/s2.     x=0.5×0.43 t2     x=0.215 t2When players side by side,0.215 t2 =3t +4.5t =15.319 s        

 

 

 

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