Question 3: Define the following;

Velocity, uniform velocity, variable velocity, average velocity, instantaneous velocity.

Velocity: Velocity is defined as the distance covered in one second in a particular direction.

Since distance in a particular direction is displacement, velocity is alternatively defined as, the rate of change of displacement. Obviously, velocity is a vector quantity.

Time rate, rate of change or change in unit time or one second are similar terms mean any changes carried out in one second.

Mathematically,

‘d’ being the magnitude of the displacement.

Unit of velocity is ms-1 and its dimensions are [LT-1].

Uniform Velocity: If a body covers equal displacements in equal intervals of time, it is said to be moving with uniform velocity.

Variable velocity: If in equal intervals of time a body covers unequal displacements, it is said to have variable velocity.

Average Velocity: Average velocity is total displacement divided by total time taken.

Mathematically,

Instantaneous Velocity

It is the velocity of a body at a particular instant of time.

When time intervals become extremely small, denoted by ∆t, the displacement intervals also become small, say ∆V, the instantaneous velocity is then;

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