A particle moving with a uniform acceleration along a straight line covers distances `a` and `b` in successive intervals of `p` and `q` second. The acceleration of the particle is

Options

A. `(pq(p+q))/(2(bp-aq))`
B. `(2(aq-bp))/(pq(p-q))`
C. `(bp-aq)/(pq(p-q))`
D. `(2(bp-aq))/(pq(p+q))`

Explanation

To find the acceleration of a particle moving with uniform acceleration that covers distances `a` and `b` in successive intervals of `p` and `q` seconds, we can use the equations of motion. Here’s a step-by-step solution:

### Step 1: Write the equations of motion for the distances covered.

1. For the first distance `a` covered in time `p`:
\[ a = u p + \frac{1}{2} A p^2 \quad \text{(1)} \]
...