Question

For a body starting from rest and moving with uniform acceleration, the ratio of the distances covered for 1s, 2s, 3s, ..... is

• A. 1:3:7:11...
• B. 1:4:9.....
• C. 1:2:3....
• D. 1:3:5...

Answer 1

The correct option is B

1:4:9.....

We know that, s = ut + (1/2) at²

If u = 0 and a is uniform; s is directly proportional to t²

In 1 sec, s = 0 + 0.5a(1)² = 0.5a

In 2 sec, s = 0 + 0.5a(2)² = 0.5a(4)

Ratio of distance covered in 1 sec relative to distance covered in 2 sec = 1:4

Similarly, ratio of distance covered in 1 sec relative to distance covered in 3 sec = 1:9