Answer: the runner's change in momentum is 172.8 kg·m/s.
Step-by-step explanation:
To find the change in momentum of the runner, we can use the equation:
change in momentum = mass x change in velocity
The mass of the runner is given as 48 kg, and the change in velocity can be calculated as:
change in velocity = final velocity - initial velocity
change in velocity = 8.7 m/s - 5.1 m/s
change in velocity = 3.6 m/s
Therefore, the change in momentum of the runner is:
change in momentum = mass x change in velocity
change in momentum = 48 kg x 3.6 m/s
change in momentum = 172.8 kg·m/s
So the runner's change in momentum is 172.8 kg·m/s.