A three-toed sloth travels eastward across a tree limb at 0.11 km/hr. After 30.0 minutes, what is the displacement of the sloth?
Displacement is the total distance from the start point, so what you want to say is that in total, If he moves 0.11 km in 60 minutes (km/h) then in 30 minutes he simply moved 0.055 km (half of 0.11 km)
Answer:
55 m eastward
Explanation:
The relationship between velocity, displacement and time is:
\(v=\frac{d}{t}\)
where v is the velocity, d the displacement and t the time.
In this problem, we know:
- \(v=0.11 km/h\) eastward is the velocity of the sloth
- \(t=30.0 min = 0.5 h\) is the time of the motion
Therefore, we can find the displacement of the sloth by re-arranging the previous formula:
\(d=vt=(0.11 km/h)(0.5 h)=0.055 km = 55 m\)
and the direction is the same as the velocity (eastward).