Question

A body falls from a height $h=200m$.The ratio of distance travelled in each $2sec$ during $t=0$ to $t=6sec$ of the journey is

• A. $1:4:9$
• B. $1:2:4$
• C. $1:3:5$
• D. $1:2:3$

Answer 1

The correct option is C $1:3:5$

Distance in first two seconds$=\frac{1}{2}g(2{)}^2=20$

Distance in first four seconds$=\frac{1}{2}g(4{)}^2=80$

Distance in first six seconds$=\frac{1}{2}g(6{)}^2=180$

Ratio$=20:(80-20):(180-80)=20:60:100=1:3:5$