Question

A particle starting from rest travels a distance x in the first 2 seconds and a distance y in the next two seconds with constant acceleration, then.

• A. y = x
• B. y = 2x
• C. y = 3x.
• D. y = 4x

Answer 1

The correct option is C

y = 3x.

Step 1: Given:

For first two second, t₁= 2 seconds

initial velocity, u = 0 m/sec

For next two second, t₂ = 2 seconds.

Step 2: Calculating the ratio of x and y:

Using standard result for constant acceleration

If the particle moves with constant acceleration and starting from rest, the ratio of distance covered in successive equal intervals of time is given by-
1:3:5:7 ......... (2n−1)

Therefore,

The ratio of x and y will b 1:3.

$\frac{\mathrm{x}}{\mathrm{y}}=\frac{1}{3}$.

or y = 3x

Hence c is correct