Question

A car is traveling at a speed of 38.0 m/s on an interstate highway where the speed limit is 75.0 mi/h. Is the driver exceeding the speed limit?

Answer 1

Answer:

Yes, the car driver is exceeding the given limit.

Explanation:

Given:

• Speed of the car, v = 38.0 m/s.
• Speed limit of the highway, $\rm v_o=75.0\ mi/h.$

Converting the speed limit from mi/h to m/s:

We know,

1 mi = 1.60934 km.

1 km = 1000 m.

Therefore, 1 mi = 1.60934 × 1000 m = 1609.34 m.

1 hour = 60 minutes.

1 minute = 60 seconds.

Therefore, 1 hour = 60 × 60 seconds = 3600 seconds.

Using these values,

$\rm 1\ \dfrac{mi}{h}=\dfrac{1609.34\ m}{3600\ s}=0.447\ m/s.$

Therefore,

$\rm v_o = 75.0\ mi/h=75.0\times 0.447=33.52\ m/s.$

Clearly,

$\rm v_o<v$

which means, the car driver is exceeding the given speed limit.