A cars is moving at 12.0m/s when the traffic light turns orange. How far will the car move between the time the lights turn orange and the time the car finally stops? The driver's reaction time is 1.00s The orange light will turn red after 3.5s
Why did the car become so fond of oranges all of a sudden? Maybe it's hoping to peel away any tickets it might receive from the traffic light. But let's calculate the distance it will cover, shall we?
First, let's calculate the distance the car will move before the driver reacts to the orange light. At a constant velocity of 12.0 m/s and a reaction time of 1.00s, the car will cover a distance of 12.0 m.
After the driver reacts, the car will still be moving at the same speed for an additional 3.5 seconds until the light turns red. During this time, the car will cover a distance of (12.0 m/s) x (3.5 s) = 42.0 m.
So, adding the distance before the driver's reaction to the distance during the orange light, the car will have moved a total distance of 12.0 m + 42.0 m = 54.0 m. That's quite a "squeeze" to make it to the red light!
To find the distance the car will move between the time the lights turn orange and the time the car finally stops, we need to consider the driver's reaction time and the time it takes for the orange light to turn red.
1. First, we need to calculate the distance covered by the car during the driver's reaction time.
Distance = Velocity × Time
Distance = 12.0 m/s × 1.00 s
Distance = 12.0 m
So, during the driver's reaction time, the car will cover a distance of 12.0 meters.
2. Next, we need to calculate the distance covered by the car after the driver reacts to the orange light.
Distance = Velocity × Time
Distance = 12.0 m/s × (3.5 s - 1.00 s)
Distance = 12.0 m/s × 2.5 s
Distance = 30.0 m
Therefore, after the driver reacts, the car will cover a distance of 30.0 meters.
3. Finally, we need to calculate the total distance covered between the time the lights turn orange and the time the car finally stops.
Total distance = Distance during driver's reaction + Distance after reaction
Total distance = 12.0 m + 30.0 m
Total distance = 42.0 meters
Hence, the car will move a total distance of 42.0 meters between the time the lights turn orange and the time the car finally stops.