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

Answer:

Speed = 24 m/s.

No! It doesn't break the speed limit.

Explanation:

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

$\boxed{ \mathsf{speed = \frac{distance}{time} }}$

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:

$\sf{speed = \frac{distance}{time} }$

$\implies \sf{speed = \frac{1.2}{0.050} }$

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.