koto is walking at a velocity of 4.5 m/s south. she started at her house and traveled 15000 meters north, 5000 meters east, 20000 meters south, and then 5000 meters west.what is her time based on her velocity? (there are 60 seconds in 1 minute.)a. 18.5 minutesb. 20.4 minutesc. 2 hoursd. 3 hours
Answer:
2.78 hour ≈ 3 hours
d. 3 hours
Explanation:
Speed is defined as the rate of change of distance with time. It is measured in m/s same as velocity. However, speed is a scalar quantity having magnitude but no direction.
Mathematically,
Speed = Distance/time
As such, time = Distance/speed
Total distance covered by Koto = 15000 + 5000 + 20000 +5000
= 45,000 meters
Time = 45000/4.5
= 10,000s
Given that 60 seconds make 1 minute, 10000 seconds in minutes
= 10,000/60
= 166.67 minutes
Given that 60 minutes make 1 hour, then 166.67 minutes in hours
= 166.67/60
= 2.78 hours
≈ 3 hours