Question

A particle starts from the position of rest under a constant acceleration. It travels a distance $x$ in the first $10$ seconds and distance $y$ in the next $20$ seconds. Then

• A. $y=8x$
• B. $y=x$
• C. $y=5x$
• D. $y=4x$

Answer 1

The correct option is A $y=8x$

initially velocity is zero, and acceleration is $a$, so distance covered in 10 sec is $x=\frac{1}{2}a{10}^2=50a$

now distance covered in total 30 sec is $x+y=\frac{1}{2}a{30}^2=450a$

so $y=400a,x=50a$

so $y=8x$

best option is option A.