Question

An object is projected vertically upwards with a velocity v₁ and returns back with velocity v₂ (V₁< V₂) then the maximum height reached by the object is​

Answer 1

The two bodies will collide at the highest point if both cover the same vertical height in the same time.

So,

2g

v

1

2

sin

2

30

∘

=

2g

v

2

2

or

v

1

2

v

2

2

=sin

2

30

∘

⇒

v

1

v

2

=sin30

∘

=

2

1

=0.5.