Question

A body moving with velocity v turns by 60° angle its speed
remains v. Find change in velocity of the body​

Answer 1

Explanation:

Since, magnitude of velocity, i.e speed, is constant, thus no change in magnitude of velocity.

But, magnitude of change in velocity is given as:

∣

v

f

−

v

i

∣=

v

2

+v

2

−2.v.v.cosθ

=v

2(1−cosθ)

Now, 1−cos2θ=2sin

2

θ,or1−cosθ=2sin

2

θ/2

Thus, magnitude of change in velocity =v

4sin

2

θ/2

=2v.sin(θ/2)