AP EAMCET202420 May 2024Evening ShiftPhysicsMotion in One DimensionActual
The relation between time ' t ' and displacement ' x ' is t= x^2+ x where and are constants. If ' v ' is the velocity, the retardation is
Options
- A2 ^2
- B2 ^3
- C-2 v^3
- D2 v^3
Correct answer
D. 2 v^3
Step-by-step solution
aligned t & = x ^2+ x dt dt & =2 x dx dt + dx dt =2 x v + v v & = 1 2 x + aligned Retardation, a=- dv dt =- d dt ( 1 2 x + ) aligned & =(2 x+ )⁻² 2 v & =v^2 2 v=2 v^3 aligned