The speed limit on suburban roads is 50 km/h. You are traveling at the limit when an empty bag blows onto the road from behind a parked car 5.0m in front of you. If you maintain your speed how long will it be before you hit?
50000 m/h / 3600 s/h = v m/s
time to impact = 5.0 m / v
5m / 50km/hr * 1km/1000m * 3600s/hr = 5*3600 / 50*1000 = 0.36s
or, since 50 km/hr = 50000m/3600s = 13.89 m/s
5m / 13.89m/s = 0.36s
To calculate how long it will take before you hit the bag, we need to determine the time it takes for you to cover the distance of 5.0 meters.
First, let's convert the speed limit from kilometers per hour (km/h) to meters per second (m/s).
Speed limit = 50 km/h
To convert km/h to m/s, we need to multiply by a conversion factor of 1000/3600 (since there are 1000 meters in a kilometer and 3600 seconds in an hour):
Speed limit (m/s) = (50 km/h) * (1000 m/km) / (3600 s/h) ≈ 13.89 m/s
Now we need to calculate the time it takes to cover a distance of 5.0 meters at a speed of 13.89 m/s:
Time = Distance / Speed
Time = 5.0 m / 13.89 m/s ≈ 0.36 seconds
Therefore, it will take approximately 0.36 seconds before you hit the bag if you maintain your speed.