The relation between time `t` and distance `x` is `t = ax^(2)+ bx` where `a and `b` are constants. The acceleration is

The relation between time t and displacement x is t = alpha x^2 + beta x, where alpha and beta are constants. The retardation is

The relation between time t and distance x of a particle is given by t=Ax^(2)+Bx , where A and B are constants. Then the (A) velocity is given by v=2Ax+B (B) velocity is given by v=(2Ax+B)^(-1) (C ) retardation is given by 2Av^(2) (D) retardation is given by 2Bv^(2) Select correct statement :-

The relation between time t and distance x for a moving body is given as t = mx^2 + nx, where m and n are constants. The retardation of the motion is : (When v stands for velocity)

A particle moves rectilinearly. Its displacement x at time t is given by x^(2) = at^(2) + b where a and b are constants. Its acceleration at time t is proportional to

The retardation fo a moving particle if the relation between time and position is t= A x^3 + Bx^2 where A and B are appropriate constants will be .

(a) A particle is moving eastward with a velocity of 5 m/s. If in 10 s the velocity changes by 5 m//s northwards. What is the average acceleration in this time ? (b) What is the retardation of a moving particle if the relation between time and position is, t = Ax^(2) + Bx ? (where A and B are appropriate constants)

The x and y coordinates of a particle at any time t are given by x = 2t + 4t^2 and y = 5t , where x and y are in metre and t in second. The acceleration of the particle at t = 5 s is

The potential energy between two atoms in a molecule is given by U=ax^(2)-bx^(2) where a and b are positive constants and x is the distance between the atoms. The atom is in stable equilibrium when x is equal to :-

The energy E of a particle at position x at time t is given by E=a/(t(b+x^(2)) Where a and b are constants. The dimensional formula of a is