Question

A ball is released from a height h. If t1 and t2 be the time required to complete first half and second half of the distance respectively. Then, choose the correct relation between t1 and t2..

• A. t1=(√2)t2
• B. t1=(√2-1)t2
• C. t2=(√2+1)t1
• D. t2=(√2-1)t1

Answer 1

Answer: (D)

t2=(√2-1)t1

Answer 2

$t_1=\frac{\sqrt2⋅\frac{H}{2}}{g}=\frac{\sqrt{H}}{g}$
$t_2=\frac{\sqrt{2H}}{g}−t_1$
$⇒t_2=\frac{\sqrt{2H}}{g}−\frac{\sqrt{H}}{g}$
$⇒t2=√Hg{√2−1}$
$⇒t2=(√2−1)t1$
So, the correct option is (D): t2 =(√2−1)t1