Question

A Worker Lives at a Distance of $1.32\,Km$ from the Factory. If the Speed of Sound in Air Be $330\,m/s$. How Much Time Will the Sound of Factory Siren Take to Reach the Worker?
Option
A. 1 s
B. 2 s
C. 3 s
D. 4 s

Answer 1

Hint:The magnitude of the rate of change of an item's position with time or the magnitude of change of its position per unit of time is the speed of an object in everyday use and kinematics; it is therefore a scalar number. The parameters of speed are distance divided by time. The metre per second (m/s) is the SI unit of speed.

Formula used:
$\text{Time} = \dfrac{{{\text{ Distance }}}}{{{\text{ Speed }}}}$

Complete step by step answer:
Galileo Galilei, an Italian physicist, is often credited with being the first to calculate speed based on the distance travelled and the time it takes. Galileo defined speed as the amount of time it takes to travel a certain distance. That is $v = \dfrac{d}{t}$ in equation form. Velocity defines both how quickly and in which direction an item is travelling, whereas speed just represents how fast it is going.

A car's speed has been mentioned if it is claimed to go at 60 km/h. However, if the automobile is reported to be travelling north at 60 km/h, its speed has now been indicated.Given,
Distance =1.32 km=1320 m
Speed of sound in air =330 m/s
We have,
$\text{Time} = \dfrac{{{\text{ Distance }}}}{{{\text{ Speed }}}}$
$\Rightarrow \text{Time} = \dfrac{{1320}}{{330}} \\
\therefore \text{Time}= 4\;{\text{s}}$

Hence option D is correct.

Note:When examining movement in a circle, there is a significant difference. The average velocity of something moving on a circular path and returning to its starting point is zero, but the average speed is calculated by dividing the diameter of the circle by the time it takes to complete the circle. This is because the average velocity is determined only by the distance between the beginning and ending sites, whereas the average speed is determined solely by the total distance travelled.