A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 4.0 m/s, skates by with the puck. After 2.80 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 0.14 m/s2, determine each of the following: a. How long does it take him to catch his opponent?
b. How far has he traveled in that time?

a)

b)

Explanation:

From the question we are told that

Speed of opposing player

First player chase his opponent after

Acceleration of  first player

Let time of catch be  

a)Generally the Equation for distance covered is mathematically given as follows

Distance to catch First opponent

Distance to covered Second opponent

Generally when first opponent catch the second opponent it is represented mathematically as

b)Generally the the total time traveled by the first opponent is mathematically given as

c. magnitude and direction