If you are driving 85 km/h along a straight road and you look to the side for 1.9 s , how far do you travel during this inattentive period?

Respuesta :

Speed of a vehicle = 85km/hr

We have to calculate the distance traveled in 1.9 second.

Since the speed is given in km/hr, so we will convert the speed into m/s.

We have to multiply the given speed by [tex]\frac{5}{18}[/tex].

Therefore, speed = 85km/hr = [tex]85 \times \frac{5}{18}[/tex]

= 23.6 m/s

Since, Distance = Speed [tex]\times[/tex] time

Distance = [tex]23.6 \times 1.9[/tex]

= 44.8 meters.

So, he traveled for 44.8 meters in 1.9 seconds.

By definition we have that the distance traveled is equal to:

[tex] d = v * t [/tex]

Where,

v: speed

t: time

On the other hand, we have the following unit conversion:

[tex] 1 hour = 3600 seconds [/tex]

Therefore, substituting values we have:

[tex] d = (85\frac{Km}{h})*((1.9s)(\frac{1}{3600}\frac{h}{s})) [/tex]

[tex] d = 0.045Km [/tex]

Answer:

during this inattentive period you travel:

[tex] d = 0.045Km [/tex]