Final answer:
To find out how long it will take the car to overtake the lorry, calculate the relative velocity between the two vehicles and the rate at which the distance between them is decreasing. Divide the initial distance by the rate to find the time.
Step-by-step explanation:
To find out how long it will take the car to overtake the lorry, we can first calculate the relative velocity between the two vehicles. The relative velocity is the difference between the velocity of the car and the velocity of the lorry. In this case, it is 25 m/s - 19 m/s = 6 m/s.
Next, we can calculate the rate at which the distance between the car and the lorry is decreasing. This rate is equal to the relative velocity. So, the distance between them is decreasing at a rate of 6 m/s.
Finally, we divide the initial distance between the car and the lorry (10 m) by the rate at which the distance is decreasing (6 m/s) to find the time it takes for the car to overtake the lorry. t = 10 m / 6 m/s = 1.67 s.