Question

ne braking distance of a vehicle is directly proportional to the square of its speed. When the speed of the vehicle is b m/s, its braking distance is d m. If the speed of the vehicle is increased by 200%. find the percentage increase in its braking distance 7​

Answer 1

Answer:

We can assign variables as:

= original breaking distance

= original speed of the vehicle

= increased breaking distance

= increased speed of the vehicle

We can look at it this way, originally it was like this:

Now, if we increase the speed to b’ which 200% more than b, we will have

Obtaining the difference between d and d’, we have

in terms of d

Adding d on both sides of the equation,

Which means the original breaking distance is increased by 800%. This is similar to the phrase “the speed of the vehicle is increased by 200%” which translates to “b + 2b”.

Hope this helps.