The unit m3s-1 can represent a multitude of things, depending upon the context.
It is most likely to represent the rate of change of volume, with respect to (wrt) time:
dV
dt
This is commonly a feature of problems in which a container is being filled at a certain rate (in m3s-1). The volume at any particular moment in time, V will simply be the integral of dv/dt, wrt time, after setting an additional constant such that V(t=k) generates the volume known for a specific time t=k.
Additionally, in a purely mathematical sense, it is possible to represent the force exerted in an area throughout a period of time, per unit mass, using this unit.
This (fictional) measure, with expression FAt/m [F=force(N), A=area(m^2), t=time(s), m=mass(kg)] arises, as 1N=1kgms-2, and so:
FAt/m -> kgms-2m2s kg-1 = kg0m3s-1 = m3s-1
This expression is also equivalent to moment in an area, per unit mass (pA/m) or simply velocity in an area (Av).
Any equation involving a product of length cubed and the reciprocal of time, with any additional units cancelling will also result in this unit, although most of these have no present applications in the field of physics.
This question cannot be answered sensibly. A cubic metre per second is a measure of flow rate, with dimensions [L3T-1]. A metre per second is a measure of speed, with dimensions [LT-1]. Basic dimensional analysis teaches that you cannot convert between measures with different dimensions such as these without additional information, such as the cross section of the relevant channel or pipe.
That's called Jerk.
The SI unit for speed is meters per second.
meters per second
meters is the distance traveled per unit time per second. Mileage = meters Time = seconds
Meters per second
speed
Conversion: cm cubed per minute x 1.67 × 10^-8 = cubic meters per second.
(35 m3 per hour) / (3,600 seconds per hour) = 0.009722 m3 per second
1 liter per second is equal to 3.6 cubic meters per hour.
Equation: liters per second x 86.4 = cubic meters per day
The meters cancel, so you get "per second", or "1/second". That unit has the special name hertz. It is a unit of frequency.
The SI unit for speed is meters per second.
Jerk is measured in (distance) per (unit of time) cubed; for example, feet/second cubed.
meters per second
meters is the distance traveled per unit time per second. Mileage = meters Time = seconds
No, it is a derived unit.
Acceleration is change of velocity per time unit; the SI unit is meters per second per second, usually abbreviated as "meters per square second".
It is acceleration that is measured in distance per unit of time per unit time, or in meters per second per second, as the question asked. The only thing missing is the direction vector.