Answer :
Her speed is 4.44 m/s, her velocity is zero
Explanation:
The difference between speed and velocity is:
- Speed is a scalar quantity telling "how fast" an object is moving, regardless of its direction of motion. It is calculated with the equation:
[tex]speed = \frac{d}{t}[/tex]
where
d is the distance travelled
t is the time interval considered
- Velocity is a vector quantity given by:
[tex]velocity = \frac{d}{t}[/tex]
where
d is the displacement of the object (a vector which connects the initial position to the final position of motion)
t is the time elapsed
In this problem, we have:
- The distance covered by Lila is 4 times the length of the track, so
[tex]d=4\cdot (400 m)=1600 m[/tex]
The time elasped is
[tex]t = 6 min \cdot 60 =360 s[/tex]
So the speed is
[tex]speed=\frac{1600}{360}=4.44 m/s[/tex]
- The displacement of Lila, instead, is zero, because her final position corresponds to her initial position (the track is circular). Therefore, her velocity is also zero:
[tex]velocity=\frac{0}{360}=0[/tex]
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