PYQ NEET- Motion In A Straight Line Kinematics L-2

Question: The ratio of the distances travelled by a freely falling body in the $1^{\text {st }}, 2^{\text {nd }}, 3^{\text {rd }}$ and $4^{\text {th }}$ second#

A) $1: 2: 3: 4$

B) $1: 4: 9: 16$

C) $1: 3: 5: 7$

D) $1: 1: 1: 1$

Answer: $1: 3: 5: 7$#

Sol:#

$\begin{aligned} & S_{n^{t h}}=u+\frac{1}{2} a(2 n-1) \ & S_{1^{s t}}=\frac{1}{2} g(2 \times 1-1)=\frac{g}{2} \ & S_{2^{n d}}=\frac{1}{2} g(2 \times 2-1)=3 \times\left(\frac{1}{2} g\right) \ & S_{3^{r d}}=\frac{1}{2} g(2 \times 3-1)=5 \times\left(\frac{1}{2} g\right) \ & S_{4^{t h}}=\frac{1}{2} g(2 \times 4-1)=7 \times\left(\frac{1}{2} g\right) \ & S_{1^{s t}}: S_{2^{n d}}: S_{3^{r d}}: S_{4^{t h}}^{t h} \ & =1: 3: 5: 7 \end{aligned}$