Please help me with physics question ://?
A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 12 m/s, skates by with the puck. After 1.0 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 4.0 m/s2 (Assume that the player with the puck remains in motion at constant speed).
----How long does it take him to catch his opponent?
----How far has he traveled in that time?
Thanks so much, choosing best answer!!
- NCSLv 72 months agoFavorite Answer
opposing player has a 1 second head start.
opposing: x = 12m/s*(t + 1s)
first: x = ½*4.0m/s²*t²
they're equal when
12(t+1) = 2.0t²
This quadratic has a negative root we can ignore and a positive root at t = 6.9 s ◄
x = 12m/s * 7.9s = 95 m ◄
x = ½*4.0m/s²*(6.9s)² = 95 m
Hope this helps!