you measure it
An interval is the distance between two notes. There's no answer possible when only given one note.
You cannot.
You cannot.
You can't you need the time and distance (once you have that it's just distance/time).
You cannot. You must have distance (or displacement). If you know it is from a standing start then accelaration will do.
Interval means only ONE Thing : The Distance BETWEEN notes or tones. Like a scale degree. eg: tonic, supertonic, subdominant.....
If you are only given total distance and total time you cannot. If you are given distance as a function of time, then the first derivative of distance with respect to time, ds/dt, gives the velocity. Evaluate this function at t = 0 for initial velocity. The second derivative, d2s/dt2 gives the acceleration as a function of time.
You can only know the distance for sure if acceleration or deceleration is constant. Add the start and end velocities and divide by two and then multiply by the time to get your distance.
You cannot. Given only the slopes, it is impossible to determine the distance between the parallel lines and so the lengths of the sides. Without that you cannot calculate the perimeter.
Average speed = 1/2 (initial speed + final speed) Time = (distance)/(average speed)
distance = speed x time so the distance is just the speed of the stone x 8 seconds
With that information, you can find the average magnitudeof the accelerationduring that period of time. You can't tell what either the magnitude or directionwere at any time during, only the average magnitude for the whole interval.