(a) Uniform Velocity: When a body moves with uniform speed in a specified direction, it is said to be moving with uniform velocity. Thus, a body moves with uniform velocity when its magnitude as well as its direction remains the same. Example: Aeroplane moving with \(500 \mathrm{~km} \mathrm{~h}^{-1}\) towards east. (b) Variable velocity: When a body moves such that either its magnitude or direction or both change, then it is said to be moving with variable velocity. Example: A car moving on a straight road such that its speed changes from time to time has variable velocity. A car taking turn has variable velocity as its direction changes.

Short Answer

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Provide examples. Answer: Uniform velocity is when an object moves at a constant speed in a specified direction, covering equal distances in equal intervals of time. For example, an airplane flying east at a constant speed of 500 km/h has a uniform velocity. Variable velocity occurs when an object's speed, direction, or both change during its motion. Examples include a car changing its speed on a straight road or a car taking a turn, as the direction of its motion changes.

Step by step solution

01

Define Uniform Velocity

Uniform velocity is when an object moves at a constant speed in a specified direction, meaning that both its speed and direction remain the same throughout its motion. In other words, it covers equal distances in equal intervals of time.
02

Provide an example of Uniform Velocity

For instance, an airplane flying with a speed of \(500 \mathrm{~km} \mathrm{~h}^{-1}\) towards east has a uniform velocity. It maintains both a steady speed and direction.
03

Define Variable Velocity

Variable velocity is when an object moves such that its speed, direction, or both change during its motion. For an object to have variable velocity, it must be either accelerating or decelerating, or it must change its direction.
04

Provide examples of Variable Velocity

A car moving on a straight road changing its speed from time to time has variable velocity, as its speed changes during the motion. Another example would be a car taking a turn, which has variable velocity as the direction of its motion changes.

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