Final answer:
a. The distance moved when t is 2 seconds is 0 units. b. The average velocity during the 3rd second is -6 units/s. c. The average velocity in km/hr during the 3rd second is -21.6 km/hr.
Step-by-step explanation:
a. To find the distance moved when t is 2 seconds, we can substitute t = 2 into the displacement function:
Displacement(2) = 4(2) - 2(2)^2
Displacement(2) = 8 - 8
Displacement(2) = 0
Therefore, when t is 2 seconds, the distance moved is 0 units.
b. The average velocity during the 3rd second can be found by calculating the change in displacement divided by the change in time:
Average Velocity = (Displacement(3) - Displacement(2)) / (3 - 2)
Average Velocity = (4(3) - 2(3)^2 - 4(2) + 2(2)^2) / (3 - 2)
Average Velocity = (12 - 18 - 8 + 8) / (3 - 2)
Average Velocity = -6 units/s
c. To find the average velocity in km/hr during the 3rd second, we need to convert the units from units/s to km/hr. Since 1 km = 1000 units and 1 hour = 3600 seconds, we can use the following conversion:
Average Velocity (km/hr) = (Average Velocity (units/s) * 1 km/1000 units * 3600 s/1 hr)
Average Velocity (km/hr) = (-6 * 1/1000 * 3600)
Average Velocity (km/hr) = -21.6 km/hr