Year: 2025
Topic: Motion in a straight line
Time :
1.
In some appropriate units, time (t) and position (x) relation of a moving particle is given by \(\text{t}\,=\,\text{x}^2\,+\,\text{x}\). The acceleration of the particle is
(1). \(\displaystyle + \frac{2}{2\text{x}+1}\)
(2). \(\displaystyle - \frac{2}{\left(\text{x}+2 \right)^3}\)
(3). \(\displaystyle - \frac{2}{\left(2\text{x}+1 \right)^3}\)
(4). \(\displaystyle + \frac{2}{\left(\text{x}+1 \right)^3}\)