How long does it take an automobile traveling 66.8 km/ h to become even with a car that is traveling in another lane at 50.8 km/ h if the cars" front bumpers are initially 144 m apart? Answwe in units of s.
The distance to travel is 144m
The difference in speed is 16km/hr
144m / 16km/hr * 1km/1000m = 9/1000 hr * 3600s/hr = 32.4s
To determine the time it takes for the two cars to become even, we can use the formula:
Time = Distance / Speed
First, let's convert the front bumper distance from meters to kilometers:
144 m = 144 / 1000 km (since 1 km = 1000 m)
Now we can calculate the time it takes for the two cars to meet:
Time = (Distance / Speed) = (0.144 km / (66.8 km/h - 50.8 km/h))
Time = 0.144 km / (16 km/h)
Now, we need to convert the speed from km/h to km/s:
Speed = 16 km/h = 16 km/h * (1 h / 3600 s)
Time = 0.144 km / (16 km/h * (1 h / 3600 s))
Simplifying the units:
Time = 0.144 km / ((16 / 3600) km/s)
Time = 0.144 km / (0.0044444 km/s)
Now, we can calculate the time:
Time = 0.144 km / 0.0044444 km/s
Time = 32.43243 seconds (rounded to 5 decimal places)
Therefore, it takes approximately 32.43243 seconds for the two cars to become even.
To determine how long it will take for the two cars to become even, we need to calculate the time it takes for the distance between them to decrease to zero.
First, let's convert the speeds of the cars to meters per second.
Car 1 speed = 66.8 km/h = (66.8 * 1000) m / (60 * 60) s = 18.55 m/s
Car 2 speed = 50.8 km/h = (50.8 * 1000) m / (60 * 60) s = 14.11 m/s
The relative speed of the two cars is the difference between their speeds.
Relative speed = 18.55 m/s - 14.11 m/s = 4.44 m/s
Now, let's calculate the time it takes for the distance between the cars to decrease to zero.
Distance = 144 m
Relative speed = 4.44 m/s
Time = Distance / Relative speed
Time = 144 m / 4.44 m/s ≈ 32.43 s
Therefore, it will take approximately 32.43 seconds for the two cars to become even.