Question

The distance required for an automobile to stop is directly proportional to the square of its velocity. If a car can stop in 1800 meters from a velocity of 30 kph, what will be the required distance at 28 kph?

Answer 1

. Here's the correct solution:

According to the problem, the distance required for the car to stop is directly proportional to the square of its velocity. So, we can say:

D = kV^2

where D is the distance required to stop the car, V is the velocity of the car, and k is the constant of proportionality.

We are given that the car can stop in 1800 meters from a velocity of 30 kph. Therefore, we can write:

1800 = k * 30^2

Solving for k, we get:

k = 1800 / (30^2) = 2/3

Now, we can use this value of k to find the distance required for the car to stop at 28 kph:

D = (2/3) * 28^2 = 627.56 meters

Therefore, the required distance for the car to stop at 28 kph is approximately 627.56 meters.