Question

For a body thrown upward time of ascending is 10 sec. Then, time of descending for it not neglecting the air friction be…….

Answer 1

Answer:

When body is moving upward, time of ascent is given by:-

As we know that gravity is acting down-ward & so does the force due to air resistance, hence for total acceleration we can imply

a

total

=g+

m

R

{R: Resistive force due to air}

∴⇒t

a

=

(g+

m

R

)

v

----------1 {v:Initial velocity}

Now, for time period of body in descent the air resistive force is acting in upward direction because the gravity is acting in downward direction.

∴ for total acceleration in this case we get

a

total

=g−

m

R

⇒t

d

=

(g−

m

R

)

v

-----------2

From Statement 1 & 2, we get time of descent is greater.