A person travels on a semi-circular track of radius 500m during a morning walk. If he starts from one end of the track and reaches the other end. Calculate the distance travelled and the magnitude of the displacement of the person.
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A person travels on a semi-circular track of radius 500m during a morning walk. If he starts from one end of the track and reaches the other end. Calculate the distance travelled and the magnitude of the displacement of the person.
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Explanation:
ANSWER
d= 500 m
(2πr)
circumference
=
2π
(
2
500
)
speed
=
500π
min
m
distance
=
500π
min
m
×
5.5 min
= 2750π m
= 8635 m
Displacement
500π is one round
2750π is
→
?
500π
2750π
=
5.5 rounds
displacement = length of diameter
=
500 m
Answer:
Given:
Radius, r = 40 m
Distance = πr = begin mathsize 14px style 22 over 7 cross times 40 space straight m equals 125.7 space straight m end style
The distance travelled by the person is 125.7 m.
Displacement is distance between final and initial points which is the diameter.
Displacement = 2×r = 2×40 m = 80 m
The magnitude of displacement of person is 80 m.