Did you know?
Did you know that the deceleration of a car plays a crucial role in determining its stopping distance and time? In the scenario described, a car traveling at 31.5 km/hr applies the brake and skids to a stop with a deceleration of -2.21 m/s.
To find the time it takes for the car to come to rest, we can use the formula:
Final velocity = Initial velocity + (Acceleration x Time)
0 km/hr = 31.5 km/hr + (-2.21 m/s x Time)
Simplifying the equation gives us:
-31.5 km/hr = -2.21 m/s x Time
By converting the initial and final velocities to the same unit (m/s), we can solve for time.
Next, to find the distance the car skids, we can use the formula:
Distance = (Initial velocity x Time) + (0.5 x Acceleration x Time^2)
Plugging in the initial velocity, time, and acceleration values, we can calculate the distance skidded by the car.
Taking into account the safety of the child, these calculations have practical implications. The shorter the time it takes for the car to stop, the less likely it is for the child to be hit. In this scenario, the child is 40 meters away from the car when the braking is initiated. Considering the calculated stopping distance, we can determine if the car will stop before reaching the child.
Additionally, the calculated distance skidded by the car can highlight potential hazards. For example, if the skid distance is longer than the distance between the car and the child, it indicates that the car may not be able to stop in time, posing a significant risk to the child's safety.
In conclusion, understanding the concepts of deceleration, stopping time, and skid distance is essential for evaluating safety situations involving moving vehicles. By using these calculations, we can make informed decisions and implement necessary measures to prevent accidents and ensure the safety of pedestrians, especially vulnerable individuals like children.
