A man walks towards east with certain velocity .A car is traveling along a road which is 0 30 west of north .while a bus is travelling in another road which is 0 60 south of west .Find the angle between velocity vector of a)man and car b)car and bus c)bus and man
Answers
Answer:
Angle between velocity vector of
a) Man and car = 120°
b) Car and bus = 120°
c) Bus and man = 120°
Explanation:
The above question can be diagrammatically explained as the attached image.
In the attached image is the velocity vector of man, is the velocity vector of bus and is the velocity vector of car.
Finding answers to the individual cases (a) , (b) & (c)
(a) Angle between velocity vector of between man and car:
Referring to the image attached ,
Angle between Man and North = 90°
Angle between Car and North = 30°
So, total angle between man and car = 30° + 90° = 120°
Hence, Angle between velocity vector of man and car = 120°
(b) Angle between velocity vector of car and bus:
Referring to the image attached,
Angle between Car and west = 90° (Angle between north and west) - Angle between north and car
∴Angle between Car and west = 90° - 30° = 60°
from the attached figure, Angle between west and bus = 60°
∴ Angle between bus and car = 60° + 60° = 120°
Hence, Angle between velocity vector of bus and car = 120°
(c) Angle between velocity vector of man and bus:
Referring to the image attached,
Angle between South and bus = 90°(Angle between south and west) - 60° = 30°
So, total angle between man and bus = 90° + 30° = 120°
Hence, Angle between velocity vector of man and bus = 120°
Below are given the angle of velocity vector of man, bus and car;.
Explanation:
We are given that:
- Direction of car = 30∘ west of north
- Direction of bus = 60∘ south of west
Solution:
(a) Man and car:
Angle between velocity vector of man and car = 90∘ + 30∘ = 120∘
(b) Car and bus:
Angle between velocity vector of car and bus = 60∘ + 60∘ = 120∘
(c) Bus and man:
Angle between velocity vector of bus and man = 30∘ + 90∘ = 120∘