Final answer:
To find the puck's speed after 19 seconds, calculate the deceleration caused by kinetic friction using the coefficient given, and then subtract the product of deceleration and time from the initial speed.
Step-by-step explanation:
To determine the speed of the puck after 19 seconds, we first need to calculate the acceleration due to kinetic friction. Using the equation f'k = μkmg, we get the frictional force. This frictional force causes a deceleration given by a = f'k / m. In this case, the coefficient of kinetic friction (μk) is 0.030.
Assuming the mass of the puck (m) is standard, the acceleration due to gravity (g) is approximately 9.8 m/s2. With a, we can calculate the final velocity using the kinematic equation v = u + at, where u is the initial velocity and t is the time. Since the force of friction is a decelerating force, we should subtract the product at from the initial velocity to get the final velocity.