Question

A body dropped from the top of a tower covers a distance $7x$ in the last second of its journey, where $x$ is the distance covered in the first second. How much time does it take to reach the ground?

• A. $3s$
• B. $4s$
• C. $5s$
• D. $6s$

Answer 1

The correct option is B $4s$

distance traveled in $1^{st}$ sec =$s_1=\frac{g}{2}(2n-1)=\frac{g}{2}=x$

distance traveled in $t^{th}$ sec =$s_t=\frac{g}{2}(2t-1)=7x=7\frac{g}{2}$

$2t-1=7$

$t=4secs$