Is it true that the velocity of a freely falling object is independent of the height of the object?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

True

False

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

The above statement is false.
According to newton’s third equation of motion,

v^{2} = u^{2} + 2 as

where,

v

is the final velocity of the object,

u

is the initial velocity of the object,

a

is the acceleration of the moving object and

s

is the distance travelled by the object.
So if the object is freely falling under the influence of the earth’s gravity. The initial velocity(u) would be zero(

0

), the acceleration(

a

) would be,

g

and the distance

(s)

would be the height (

h

).
So the free falling velocity(

v

) would be

v^{2} = {(0)}^{2} + 2 \times g \times h

\Rightarrow

v^{2} = 2 \times g \times h

\Rightarrow

v = \sqrt{2 gh}

We can see by the formula that free falling velocity is dependent on the height of the freely falling object.
So the correct statement would be that the velocity of a freely falling object is dependent of the height of the object.

Watch 3-min video & get full concept clarity