a car moving with a speed of 50 km/hr can be spotted by breaks after at least 6m.If the same car is moving with a speed of 100km/hr the minimum stopping distance is? With solution
To determine the minimum stopping distance of a car, we first need to understand the relationship between speed, braking distance, and stopping distance.
The stopping distance of a car consists of two components: the thinking distance and the braking distance. The thinking distance is the distance a car travels while the driver reacts to a situation and applies the brakes, and the braking distance is the distance traveled by the car while it comes to a complete stop after the brakes are applied.
Let's assume the braking distance remains constant for a given car.
Given that a car moving at a speed of 50 km/hr can be stopped within 6 meters, we can use this information to find the braking distance.
First, let's convert the speed from km/hr to m/s since distance is generally measured in meters. We know that 1 km = 1000 m and 1 hr = 3600 sec, so:
speed in m/s = (speed in km/hr) * (1000 m/1 km) * (1 hr/3600 sec)
For the car moving at 50 km/hr:
speed in m/s = (50 km/hr) * (1000 m/1 km) * (1 hr/3600 sec) = 13.89 m/s
Now, we can calculate the braking distance using the given information. Since the braking distance is 6 meters, we have:
braking distance = 6 meters
Let's assume the braking distance remains constant for the car at any speed.
Now, to determine the minimum stopping distance for the car moving at 100 km/hr, we need to consider the same value for the braking distance but a different value for the speed.
Again, let's convert the speed from km/hr to m/s:
speed in m/s = (100 km/hr) * (1000 m/1 km) * (1 hr/3600 sec) = 27.78 m/s
For a car moving at 100 km/hr, the speed in m/s is 27.78 m/s.
The stopping distance can be calculated by adding the thinking distance and the braking distance.
Since the thinking distance is not given, we'll assume it remains constant for now.
stopping distance = thinking distance + braking distance
Since we are interested in the minimum stopping distance, we can disregard the thinking distance for now.
Therefore, the minimum stopping distance for the car moving at 100 km/hr is:
minimum stopping distance = braking distance
The braking distance is the same as before and remains constant, which is 6 meters.
Hence, the minimum stopping distance for the car moving at a speed of 100 km/hr is 6 meters.