I'm driving along at a constant speed in my 3 metre long car when I notice that I am accidentally driving through a red light. If the rear of my car passes under the light 0.3 seconds after the front of my car, how fast am I driving in m/s?
To determine the speed at which you are driving in m/s, we need to use the formula:
Speed = Distance / Time
First, we need to find the distance traveled by the car in meters. Since the car is 3 meters long and the time difference between the front and rear passing under the red light is 0.3 seconds, the distance traveled during that time is equal to the length of the car:
Distance = 3 meters
Next, we have the time taken for the rear of the car to pass under the light after the front of the car:
Time = 0.3 seconds
Now we can calculate the speed:
Speed = Distance / Time
Speed = 3 meters / 0.3 seconds
Dividing 3 meters by 0.3 seconds gives us:
Speed = 10 meters per second (m/s)
Therefore, you are driving at a speed of 10 m/s.
To determine the speed at which you are driving, we need to use the given information about the length of your car and the time difference between the front and rear passing the red light.
1. Convert the length of the car to meters: 3 meters.
2. Calculate the time it takes for the front of the car to pass the red light: 0.3 seconds.
3. Divide the length of the car by the time difference between the front and rear passing the red light:
Speed = Length / Time
Speed = 3 meters / 0.3 seconds
4. Calculate the result:
Speed = 10 meters per second (m/s)
Therefore, you are driving at a speed of 10 meters per second.