Answer :
To find the approximate stopping distance for a car traveling at 35 mph on a wet road, we use the formula given in the table:
[tex]\[ d(v) = \frac{2.15 \times v^2}{64.4} \][/tex]
Here's a step-by-step breakdown of how we calculate this:
1. Identify the velocity [tex]\( v \)[/tex] of the car, which is 35 mph in this scenario.
2. Plug the velocity into the formula:
[tex]\[ d(35) = \frac{2.15 \times 35^2}{64.4} \][/tex]
3. Calculate [tex]\( 35^2 \)[/tex]:
[tex]\[ 35^2 = 1225 \][/tex]
4. Multiply by the factor 2.15:
[tex]\[ 2.15 \times 1225 = 2637.5 \][/tex]
5. Divide by 64.4 to get the stopping distance:
[tex]\[ \frac{2637.5}{64.4} \approx 40.90 \][/tex]
Therefore, the approximate stopping distance for a car traveling at 35 mph on a wet road is about 40.9 feet.
[tex]\[ d(v) = \frac{2.15 \times v^2}{64.4} \][/tex]
Here's a step-by-step breakdown of how we calculate this:
1. Identify the velocity [tex]\( v \)[/tex] of the car, which is 35 mph in this scenario.
2. Plug the velocity into the formula:
[tex]\[ d(35) = \frac{2.15 \times 35^2}{64.4} \][/tex]
3. Calculate [tex]\( 35^2 \)[/tex]:
[tex]\[ 35^2 = 1225 \][/tex]
4. Multiply by the factor 2.15:
[tex]\[ 2.15 \times 1225 = 2637.5 \][/tex]
5. Divide by 64.4 to get the stopping distance:
[tex]\[ \frac{2637.5}{64.4} \approx 40.90 \][/tex]
Therefore, the approximate stopping distance for a car traveling at 35 mph on a wet road is about 40.9 feet.
