Johnny walks 100 m south, then 50 m west, then 80 m north, then 50 m east, and then 60 m
north. This takes 0.5 hours. Calculate his speed and velocity (in meters per second, m/s).
To calculate Johnny's speed, we need to find the total distance he traveled and divide it by the total time taken.
Total Distance = distance south + distance west + distance north + distance east + distance north
Total Time = 0.5 hours
Distance South = 100 m
Distance West = 50 m
Distance North = 80 m + 60 m = 140 m
Distance East = 50 m
Total Distance = (100 m) + (50 m) + (140 m) + (50 m) = 340 m
Total Time = 0.5 hours
Speed = Total Distance / Total Time
Speed = 340 m / 0.5 hours
To convert hours to seconds, we need to multiply by 60 (as there are 60 minutes in an hour) and then multiply by 60 again (as there are 60 seconds in a minute).
Speed = (340 m / 0.5 hours) * (60 minutes / 1 hour) * (60 seconds / 1 minute)
Speed ≈ 340 m / 0.5 * 60 * 60
Calculating this, we find:
Speed ≈ 3.78 m/s
To calculate Johnny's velocity, we need to find the displacement (the net change in position) and divide it by the total time taken. Velocity also includes direction, so we'll need to consider the direction of Johnny's displacement.
Displacement = final position - initial position
Final Position (after moving) = 50 m west
Initial Position (starting point) = Not given in the question
Since the initial position is not given, we cannot find Johnny's velocity without knowing where he started from.