Question

What is the average speed of a car if it travels $600\,Kms$ in $10$ hours?

Answer 1

Hint: The distance travelled by a body in a given time interval divided by time is the average speed of that body in that time interval. So, if a particle travels a given distance s in time ${t_1}$ to ${t_2}$, the body's average speed is: \[\text{Average Speed} =\dfrac{\text{Total Distance}}{\text{Total Time}}\].

Complete step by step answer:
To begin, understand the difference between speed and velocity. Effort: Since speed is a scalar quantity, it has no direction. It expresses how quickly an object is moving. If the particle's speed is high, the particle is moving quickly, and if it is low, the particle is moving slowly.Velocity is a vector quantity, meaning it has both a magnitude and a direction.

It indicates how quickly an object is moving or shifting location. The velocity vector's path is simple to determine. It moves in the same direction as the moving object. Even if the object is slowing down and its velocity is declining in magnitude, It will continue to move in the same direction as the object.Now we must calculate the average speed of a car that travels 600 kilometres in ten hours.

We know the Average speed is calculated as follows:
\[\text{Average Speed}=\dfrac{\text{Total distance}}{\text{Total time}}\]
Substituting the values given, we have,
\[\text{Average Speed}=\dfrac{600\,Km}{10\,hr}\]
On simplifying further we get,
\[\text{Average Speed}=\dfrac{60}{1}km/h\]
\[\therefore\text{Average Speed}=60\,km/h\]

Hence the Average speed of the car when it travels $600\,Km$ in $10\,hr$ is \[60\,km/h\].

Note:The terms "average speed" and "average velocity" are not interchangeable. Average velocity is a vector quality, while average speed is a scalar quantity, i.e. average velocity has both magnitude and direction, whereas average speed only has magnitude.Questions can be varied by changing the magnitude of the distance or the time period taken to cover the distance. The formula is the most important aspect; in order to solve such numerical problems, one must know the formula.