- #1
Shinaolord
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Homework Statement
The braking distance for an automobile with initial speed v is d. What is the braking distance if the initial speed of the automobile is 4v? Assume the automobile experiences the same constant acceleration in each case.
Homework Equations
v=v0 + at
Δd = ∫v dt = v0t + at2/2
The Attempt at a Solution
So, I know that the speed 4v is going to replace v0, yielding
∫4v dt = 4∫v dt = 4(v0t + at2/2) +c, where c can be considered d=0.
This is where I need some assistance. I'm not entirely sure what the next step I should take to solve the equation.
Could it possibly be that we isolate v, and then compute? I'm really confused on this question.
By the way, this is from an exam from my college used several years ago, they are now used as practice exams.
EDIT: Could it possibly be as simple as 4d? I have severe doubts that this is definitely not the right answer, and I'm worried that I haven't' developed the intuition to solve these problems yet...With exams starting The week of the 15th
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