Final answer:
The speed of the quarter after 1 second is -9.8 m/s, after 3 seconds it is -29.4 m/s, and it takes 2 seconds to reach the top of its path.
Step-by-step explanation:
a) To find the speed of the quarter after 1 second, we need to consider the acceleration due to gravity. Since the quarter is flipped straight up, it will experience free fall. At a height of 20 m/s, it will have a velocity of -9.8 m/s after 1 second.
b) After 3 seconds, the quarter will have traveled a distance of -44.1 m and its velocity will be -29.4 m/s.
c) Since the quarter is flipped straight up, it will take 2 seconds to reach the top of its path.