Question

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

Answer 1

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 $V_m$ is the velocity vector of man, $V_b$ is the velocity vector of bus and $V_c$ 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°

Answer 2

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∘