Question

a ball is dropped from a height h. it's velocity when it reaches ground is:

1. independant of h
2. directly proportional to h
3. proportional to square foot of h
4. none of these

PLEASE ANSWER THIS FAST​

Answer 1

Answer:

none of theses is the correct answer velocity is inversely proportional to height

Answer 2

Answer:

Given:

⟶ A ball is dropped from height h.

\large{\bf{\gray{\underline{\underline{\green{To\:Find:}}}}}}ToFind:

➝ Relation b/w final velocity (v) at which ball touched the ground and height (h).

\large{\bf{\gray{\underline{\underline{\pink{Solution:}}}}}}Solution:

➠ Here, Acceleration due to gravity continuously acts in downward direction.

➠ We know that, Acceleration due to gravity has constant magnitude so, we can apply equation of kinematics to solve this question.

Let's apply 3rd eq. of kinematics

:\implies\tt\:v^2-u^2=2gh:⟹v2−u2=2gh

:\implies\tt\:v^2-0^2=2gh:⟹v2−02=2gh

:\implies\tt\:v^2=2gh:⟹v2=2gh

:\implies\tt\:v=\sqrt{2gh}:⟹v=2gh

:\implies\underline{\boxed{\bf{\purple{v\propto\sqrt{h}}}}}:⟹v∝h

Option-C is the correct answer.

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