A car traveling 88 km/h is 80 m behind a truck traveling 75 km/h. How long will it take the car to reach the truck
v1=88 km/h =88000/3600=24.4 m/s
v2= 75 km/h =75000/3600=20.8 m/s.
v1•t-v2•t=80
t=80/(v1-v2) =80/(24.4-20.8) = 22.43 s.
To find out how long it will take for the car to reach the truck, we need to determine the time it will take for the car to cover the 80 m distance between them.
First, let's convert the speeds of both the car and truck from km/h to m/s, which is the standard unit for measuring speed in physics.
The car's speed is 88 km/h. To convert this to m/s, we use the conversion factor: 1 km/h = 0.2778 m/s. Therefore, the car's speed is 88 x 0.2778 = 24.445 m/s.
The truck's speed is 75 km/h. Converting this to m/s, we get 75 x 0.2778 = 20.833 m/s.
Now that we have both speeds in m/s, we can calculate the time it will take for the car to reach the truck.
The relative speed between the car and the truck is the difference between their speeds. In this case, the relative speed is 24.445 m/s - 20.833 m/s = 3.612 m/s.
Since the distance between the car and the truck is 80 m, we can use the formula:
Time = Distance / Speed
Plugging in the values, we have:
Time = 80 m / 3.612 m/s.
Evaluating this, we find:
Time = 22.12 seconds.
Therefore, it will take approximately 22.12 seconds for the car to reach the truck.