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# Constant Speed

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 Sub Topics Constant speed is nothing but the speed maintained consistency over time t. To achieve this one has to cover the equal distance for the equal intervals of time t. you could observe the driver in the car seems to be in agreement to this term. A car in the level road need to be depressed by accelerator to bring it to a constant speed. The acceleration at this time will be zero. If you want to accelerate or decelerate it further you again have to depress it more or loose the foot from the accelerator.

## What is Constant Speed?

Constant speed is that speed that does not change or stays constant.It is often being confused with constant velocity as both seem to same but that not true. The constant speed is that where consistency is maintained in any direction whereas in constant velocity is that where consistency is maintained in one direction. The constant speed of light is 3 $\times$ 108 ms-1.

The acceleration will be zero when body is undergoes constant speed. Hence Constant speed acceleration tells that if body undergoes constant speed then its acceleration will be constant i.e., zero.

## Constant Speed Formula

You know that Constant speed is the consistently maintaining same speed for any time instant. So it is given by
Constant Speed = $\frac{Constant\ distance\ traveled}{Equal\ time\ taken}$
= $\frac{\Delta\ X}{\Delta\ T}$
where S = Constant Speed attain by a body
X = Total distance traveled by the object and
T = time in which it traveled distance ‘X’.

## How to Find Constant Speed?

To find the constant speed note the given speed of the body and the time taken. Observe whether the time intervals are equal and distance traveled are constant. Add up all the time intervals then divide the distance traveled to the time taken to get the constant speed.

Below are given some constant speed problems that may be used for your reference:

### Solved Examples

Question 1:
Two runners run in the 400 m track. One of the two is running at the constant speed of 7 m/s while the other at 5 m/s. How long will it take for the first runner run to complete the track?

Solution:

Given: Distance of the track = 400 m, Constant Speed of the first runner = 7 m/s
We know that

Constant Speed = $\frac{Constant\ Distance\ traveled}{Total\ time\ taken}$

That implies

Time taken = $\frac{Equal\ distance\ traveled}{Constant\ Speed}$

= $\frac{400\ m}{7 m/s}$
= 57.15 s.

$\therefore$ It will take 57.15 s for the runner to complete the track.

Question 2:
Two vehicles are moving in their own path. One covers a distance of 50 km in 5 hrs and another covers a distance of 150 km in 15 hrs. Are they having constant speed?

Solution:

Given: For the first vehicle Distance traveled = 50 km and time taken t = 5 hrs
For the second vehicle Distance traveled = 150 km and time taken t = 15 hrs

Speed of the first vehicle = $\frac{Distance\ traveled}{time\ taken}$

= $\frac{50\ kms}{5\ hrs}$

= 10 km/hr

Speed of the second vehicle = $\frac{Distance\ traveled}{time\ taken}$

= $\frac{150\ kms}{15\ hrs}$

= 10 km/hr
Hence both the vehicles are moving with constant speed.