Question

On one stretch of road, any vehicle travelling faster than 25 m/s is breaking the speed limit. The detectors are placed 1.2 m apart. Calculate the speed of a car that takes 0.050 s to travel this distance. Is it breaking the speed limit?​

Answer 1

Speed = 24 m/s.

No! It doesn't break the speed limit.

Step-by-step explanation:

The formula we'll be using to find the car's speed:

`\boxed{ \mathsf{speed = (distance)/(time) }}`

The detectors are placed 1.2 m apart.

==> Distance the car travels = 1.2 m

The car, it says, takes 0.050 s to travel that distance.

==> Time taken by the car to travel 1.2 m = 0.050 s

Using the formula mentioned above, let's calculate the speed of the car:

`\sf{speed = (distance)/(time) }`

`\implies \sf{speed = (1.2)/(0.050) }`

On dividing 12 by 0.050 we obtain 24.

`\implies \sf{speed = 24 \: m/s }`

Any car traveling with a speed that is greater than or equal to 25 m/s is breaking the speed limit.

And since the car in our focus is traveling at 24 m/s that is less than 25 m/s, it doesn't break the speed limit.