The distance traveled by the hockey player is 0.025 m.
The final velocity of the hockey play is calculated by applying the principle of conservation of linear momentum;
[tex]m_1v_1 = m_2 v_2\\\\v_1 = \frac{m_2 v_2}{m_1} \\\\v_1 = \frac{0.150 \times 45}{90} \\\\v_1 = 0.075 \ m/s[/tex]
The time taken for the puck to reach 15 m is calculated as follows;
[tex]t = \frac{d}{v} \\\\t = \frac{15\ m}{45 \ m/s} \\\\t = 0.33 \ s[/tex]
The distance traveled by the hockey player at the calculated time is;
[tex]d = vt\\\\d = 0.075 \ m/s \ \times 0.33 \ s\\\\d = 0.025 \ m[/tex]
Learn more about conservation of linear momentum here: https://brainly.com/question/7538238