Question
In some appropriate units, time (t) and position ( x ) relation of a moving particle is given by t=x^2+x. The acceleration of the particle is
NEET
Physics
Motion In One Dimension
2025
NEET 2025
NEET Physics Question (2025) — Solution
Options
- A. - 2 (x+2)^3
- B. - 2 (2 x+1)^3
- C. + 2 (x+1)^3
- D. + 2 2 x+1
Answer
B. - 2 (2 x+1)^3
Step-by-step solution
aligned & t=x^2+x \\ & dt dx = d dx [ x ^2+ x ] \\ & 1 v =2 x +1 aligned v=(2 x+1)^ -1 ...(i) aligned a & = v d v d x =(2 x+1)^ -1 [-1(2 x+1)^ -2 2 ] \\ a & =-1(2 x+1)^ -3 2 \\ a & =-2(2 x+1)^ -3 \\ & =- 2 (2 x+1)^3 aligned
Related: Physics — Motion In One Dimension · All PYQ Banks