Question 132: Motion in 1D

Question

A small block slides down on a smooth inclined plane, starting from rest at time t = 0. Let Sn be the distance travelled by the block in the interval t = n $$-$$ 1 to t = n. The the ratio $${{{S_n}} \over {{S_{n + 1}}}}$$ is :

Accepted Answer

$${{{S_n}} \over {{S_{n + 1}}}} = {{{a \over 2}(2n - 1)} \over {{a \over 2}\left( {2(n + 1) - 1} \right)}} = {{2n - 1} \over {2n + 2 - 1}} = {{2n - 1} \over {2n + 1}}$$

Answer

$${{2n} \over {2n - 1}}$$

Answer

$${{2n - 1} \over {2n}}$$

Answer

$${{2n - 1} \over {2n + 1}}$$

Answer

$${{2n + 1} \over {2n - 1}}$$

Motion in 1D

A small block slides down on a smooth inclined plane, starting from rest at time t = 0. Let Sn be the distance travelled by the block in the interval t = n $- 1 to t = n. The the ratio {{{S_n}} \over {{S_{n + 1}}}}$ is :

Choose the correct answer: