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2 years ago

8

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 ap

art. Calculate the speed of a car that takes 0.050 s to travel this distance. Is it breaking the speed limit?

1 answer:

Nadya [2.5K]2 years ago

4 0

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:

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

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

<em>On</em><em> </em><em>dividing</em><em> </em><em>1</em><em>2</em><em> </em><em>by</em><em> </em><em>0</em><em>.</em><em>0</em><em>5</em><em>0</em><em> </em><em>we</em><em> </em><em>obtain</em><em> </em><em>2</em><em>4</em><em>.</em>

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

Any car traveling with a speed that is greater than or equal to <u>2</u><u>5</u><u> </u><u>m</u><u>/</u><u>s</u> 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.

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