Electrical pulses with independent and identically distributed random ampli- tudes ξ1,ξ2,... arrive at a detector at random times W1,W2,... according to a Poisson process of rate λ. The detector output θk(t) for the kth pulse at time t is 0 for t < Wk, θk(t)= ξkexp{−α(t−Wk)} That is, the amplitude impressed on the detector when the pulse arrives is ξk, and its effect thereafter decays exponentially at rate α. Assume that the detector is additive, so that if N(t) pulses arrive during the time interval [0,t], then the output at time t is:

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.