Answer:
The total distance the drone traveled is (C) 12 meters.
Step-by-step explanation:
To determine the total distance, we need to consider both the upward and downward movements. In the upward phase, the drone rises to a height of 5 meters in 6 seconds. Using the formula distance=initial velocity×time+12×acceleration×time2distance=initial velocity×time+21×acceleration×time2, where acceleration is the acceleration due to gravity (approximately -9.8 m/s²), we find the distance traveled upward is 5 meters+12×(−9.8)×(6)25meters+21×(−9.8)×(6)2.
In the downward phase, the drone descends from 5 meters to 2 meters in 4 seconds. Using the same formula, the distance traveled downward is 2 meters+12×(−9.8)×(4)22meters+21×(−9.8)×(4)2.
Adding these distances together, we get the total distance traveled by the drone, which is 12 meters.
Option c is correct.