You indicated that the object is moving with minimum speed when it is at point A. 

The circles in the motion diagram above are the trail markers that illustrate the path of the charged object that is moving through the electric and magnetic fields.  The time interval between successive trail markers is always the same.  An object that is moving fast travels farther during one time interval than an object that is moving slow. 

Speeding up simply means that the speed is changing from slow to fast.  Conversely, slowing down means that the speed changes from fast to slow. 

If the object is really traveling with minimum speed at point A, then it should have been slowing down just before point A and speeding up just afterward.  Put another way, the spacing between the trail markers just before point A should have been getting progressively smaller and the spacing of the trail markers just after point A should have been getting progressively larger.  Is this really true?