NEET2007PhysicsMotion in One DimensionActual
A particle moving along x -axis has acceleration f , at time t , given by f=f₀ (1- t T ) , where f₀ and T are constants. The particle at t=0 has zero velocity. In the time interval between t=0 and the instant when f=0 , the particle's velocity (v_x ) is:
Options
- A1 2 f₀ T^2
- Bf₀ T^2
- C1 2 f₀ T
- Df₀ T
Correct answer
C. 1 2 f₀ T
Step-by-step solution
Acceleration d v d t =f=f₀ (1- t T ) aligned ₀^v d v & =f₀^T 1- t T d t v & =f₀ (t- t^2 2 T )₀^T & v =f₀ (T- T^2 2 T )= 1 2 f₀ T aligned