Car travelling speed 30 km/h stops after 8m distance through brakes.If same car moves at 60km/h. what is the stopping distance
d = 60^2/30^2 * 8 = 4 * 8 = 32 m
To determine the stopping distance of a car moving at 60 km/h, we need to determine the relationship between the car's initial speed, distance traveled, and the stopping distance at 30 km/h.
We know that the car's initial speed is 30 km/h, and it stops after traveling 8 meters. Let's calculate the stopping distance at 30 km/h using this information.
First, we need to convert the initial speed from km/h to m/s since the stopping distance will be calculated in meters. To convert km/h to m/s, we use the following formula:
m/s = (km/h) * (1000 m/1 km) * (1 h/3600 s)
Converting 30 km/h to m/s:
30 km/h * (1000 m/1 km) * (1 h/3600 s) = 8.33 m/s (rounded to two decimal places)
Now, we use the formula for stopping distance:
Stopping distance = (initial speed ^ 2) / (2 * deceleration)
Since the initial speed is 8.33 m/s and the stopping distance is 8 meters, we can rearrange the formula to solve for deceleration:
deceleration = (initial speed ^ 2) / (2 * stopping distance)
deceleration = (8.33 m/s) ^ 2 / (2 * 8 m) = 6.94 m/s^2 (rounded to two decimal places)
Now that we have the deceleration, we can calculate the stopping distance at 60 km/h using the same formula:
Stopping distance = (initial speed ^ 2) / (2 * deceleration)
Converting 60 km/h to m/s:
60 km/h * (1000 m/1 km) * (1 h/3600 s) = 16.67 m/s (rounded to two decimal places)
Stopping distance at 60 km/h:
Stopping distance = (16.67 m/s) ^ 2 / (2 * 6.94 m/s^2) ≈ 42.55 meters (rounded to two decimal places)
Therefore, the stopping distance of the car when it is traveling at 60 km/h is approximately 42.55 meters.