question_answer

Distances covered by a freely falling body (starting from rest) during \[{{\text{1}}^{\text{st}}},\text{ }{{\text{2}}^{\text{nd}}},\text{ }{{\text{3}}^{\text{rd}}}....\text{ }{{\text{n}}^{\text{th}}}\] of its motion are proportional to (a) Even numbers            (b) Odd numbers (c) All integral numbers (d) Square of integral numbers

Answer:

Distances covered by a freely falling body during\[{{1}^{st}},\text{ }{{2}^{nd}},\text{ }{{3}^{rd}}...\text{ }{{n}^{th}}\] or its motion is. \[{{S}_{nth}}=U+\frac{a}{2}(2n-1)\] \[{{S}_{1st}}=\frac{9.8}{2}(2\times 1-1)\] \[{{S}_{2nd}}\text{ }=3\times 4.9m\]      \[{{S}_{3rd}}=5\times 4.9m\] \[{{S}_{1}}:{{S}_{2}}:{{S}_{3}}=4.9:3\times 4.9:5\times 4.9=1:3:5\] \[{{S}_{1}}:{{S}_{2}}:{{S}_{3}}\]are proportional to odd number.