The displacement x of a particle varies with time t as x=a e^ -a t +B^ x , where a, b, and are positive constants. The velocity of the particle will:

Step-by-step solution

From question aligned & x=a e^ - t +b e^ t & V= d x d t =-a e^ -x t +b _e^ B + & V =-a e^ -t +b ^ t aligned We can tell that velocity will increase with time since the negative component will decrease with an increase in time and the positive component will increase in the equation given equation.