NEET2010PhysicsMotion in One DimensionActual
A particle moves a distance x in time t according to equation x=(t+5)⁻¹ . The acceleration of particle is proportional to
Options
- A(velocity) ^ 3 / 2
- B( distance )^2
- C(distance )⁻²
- D(velocity) ^ 2 / 3
Correct answer
A. (velocity) ^ 3 / 2
Step-by-step solution
Given, distance x=(t+5)⁻¹ Differentiating Eq. (i) w.r.t. t , we get dx dt =( v )= -1 ( t +5)^2 Again, differentiating Eq. (i) w.r.t. t, we get d ^2 x dt ^2 =( a )= 2 ( t +5)^3 Comparing Eqs. (ii) and (iii), we get (a) (v)^ 3 / 2