Question

Which of the following has a derived dimension?
A) Velocity
B) Acceleration
C) Density
D) All of the above.

Answer 1

The speed of an object is the pace at which its direction is changed with respect to a reference point, and depends on time. Speed is equal to the defined speed and direction of movement of an object. Velocity is a central term in filmmaking that explains the acceleration of the bodies in classical mechanics.
Acceleration, rate at which time, in speed and direction, velocity varies. A position or object on a direct line is accelerated as it accelerates or slows. Density is a volume mass scale. The average density of an object refers to the total volume of an object.

Complete step by step solution:
In relation to a frame of reference and time the significance of the speed of an object can be defined as the rate of change of direction of the object. It may sound confusing, but the pace is essentially in a certain direction. It is a quantity of vectors, meaning that we need both size (speed) and direction to speed. The unit SI is a metric per second. When the magnitude or trajectory of a body varies, the body is said to accelerate.

Acceleration has magnitude and direction, and is a vector number. It is also the second derivative of place about time, or the first derivative of pace as regards time.

Density is a volume mass scale. The average density of an object refers to the total volume of an object. An object made of a very dense substance (like iron) has a greater volume than an equivalent density object made of a greater substance (like water).

Basically mass, volume, time, etc. are the basic quantities. Speed is known as the rate of time displacement. Displacement has the same length dimensions. Speed is a quantity derived. Acceleration is defined as the rate of velocity change in relation to time. This is how time and distance depend on acceleration. It's also a quantity derived. The mass of a unit volume of a substance is determined by density. Volume has the cube length dimension. Density is therefore also a derived quantity.

Note: Speed is a physical quantity of the vector; it needs to be defined by both magnitude and direction. The absolute scalar value (magnitude) of speed is called velocity and is a consistent derived unit with a SI (metrical system) measuring quantity. The direction of the acceleration of an object is determined by the direction of the net force that acts on it. As defined in Newton's Second Law, the magnitude of an acceleration of object is the combined result of two causes:
i) A net balancing of all external forces — the magnitude is directly proportional to this net resultant force; the density of the object is inversely proportional to the mass of an object, depending on the materials.
ii) The material's density depends on temperature and strain. Typical for solids and liquids, this difference is much broader for gases. Growing the weight on an object lowers the object's volume and thereby increases its mass. By changing a substance’s temperature (with a few exceptions) its density is reduced by changing its volume.