Question 130: Motion in 1D

Question

The ratio of the distances travelled by a freely falling body in the 1st, 2nd, 3rd and 4th second

Accepted Answer

$${S_{{n^{th}}}} = u + {1 \over 2}a(2n - 1)$$
$${S_{{1^{st}}}} = {1 \over 2}g(2 	imes 1 - 1) = {g \over 2}$$
$${S_{{2^{nd}}}} = {1 \over 2}g(2 	imes 2 - 1) = 3 	imes \left( {{1 \over 2}g} ight)$$
$${S_{{3^{rd}}}} = {1 \over 2}g(2 	imes 3 - 1) = 5 	imes \left( {{1 \over 2}g} ight)$$
$${S_{{4^{th}}}} = {1 \over 2}g(2 	imes 4 - 1) = 7 	imes \left( {{1 \over 2}g} ight)$$
$${S_{{1^{st}}}}:{S_{{2^{nd}}}}:{S_{{3^{rd}}}}:{S_{{4^{th}}}}$$
$$ = 1:3:5:7$$

Answer

1 : 2 : 3 : 4

Answer

1 : 4 : 9 : 16

Answer

1 : 3 : 5 : 7

Answer

1 : 1 : 1 : 1

Motion in 1D

The ratio of the distances travelled by a freely falling body in the 1st, 2nd, 3rd and 4th second

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