Question
The table below shows the effect of different conditions on a car's stopping distance. In which condition was the car travelling most slowly? Enter a number Condition & }(c) Thinking distance (mathrm(m)) & Braking distance (mathrm(m)) & Stopping distance (mathrm(m)) 1 & 15 & 38 & (i) 2 & 15 & (ii) & 65 3 & 25 & 75 & (iii) 4 & (iv) & 75 & 96 5 & 9 & (v) & 23
Answer
4.7
(330 Votes)
Yolanda
Master · Tutor for 5 years
Answer
After reviewing and calculating the stopping distance for each condition using the formula mentioned in Step1, condition number 5 seems to have the shortest stopping distance of just 23 meters. Hence, based on this information and the understood physical phenomenon behind distances and vehicle speed, the car was most likely travelling slowly under Condition 5.
Explanation
## Step1: First, let's identify the mathematical relationship that connects thinking distance, braking distance, and stopping distance in a car. According to basic principles of physics, the stopping distance of a vehicle is the sum of the distance travelled during driver's thinking interval and the braking distance. Mathematically, this is represented as:### **Stopping Distance = Thinking Distance + Braking Distance**## Step 2: Apply this principle to the data in each of the conditions provided in the question's table and calculate the missing speeds that the car was travelling at under each condition. For any condition, as the speed reduces, both the thinking distance and braking distance decrease, consequently leading to a decrease in the stopping distance.## Step3: To find out under which condition is the car travelling most slowly, we need to locate the condition with the shortest stopping distance, as smaller stopping distance would usually parallel to slower speed.