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Answer :
To find the approximate stopping distance for a car traveling at 35 mph on a wet road, you can use the following formula for stopping distance:
[tex]\[ d(v) = \frac{2.15 \times v^2}{64.4 \times f} \][/tex]
Where:
- [tex]\( v \)[/tex] is the speed in mph.
- [tex]\( f \)[/tex] is the friction factor. For wet roads, a typical value for [tex]\( f \)[/tex] is around 0.7.
Here are the steps to calculate the stopping distance:
1. Given Speed: The speed of the car is 35 mph.
2. Friction Factor: On wet roads, a typical friction factor [tex]\( f \)[/tex] is approximately 0.7.
3. Calculate the Stopping Distance:
- Insert the given values into the formula:
[tex]\[
d(35) = \frac{2.15 \times (35)^2}{64.4 \times 0.7}
\][/tex]
- Evaluate the expression:
[tex]\[
d(35) \approx 58.4 \text{ feet}
\][/tex]
Therefore, the approximate stopping distance for a car traveling at 35 mph on a wet road is about 58.4 feet.
[tex]\[ d(v) = \frac{2.15 \times v^2}{64.4 \times f} \][/tex]
Where:
- [tex]\( v \)[/tex] is the speed in mph.
- [tex]\( f \)[/tex] is the friction factor. For wet roads, a typical value for [tex]\( f \)[/tex] is around 0.7.
Here are the steps to calculate the stopping distance:
1. Given Speed: The speed of the car is 35 mph.
2. Friction Factor: On wet roads, a typical friction factor [tex]\( f \)[/tex] is approximately 0.7.
3. Calculate the Stopping Distance:
- Insert the given values into the formula:
[tex]\[
d(35) = \frac{2.15 \times (35)^2}{64.4 \times 0.7}
\][/tex]
- Evaluate the expression:
[tex]\[
d(35) \approx 58.4 \text{ feet}
\][/tex]
Therefore, the approximate stopping distance for a car traveling at 35 mph on a wet road is about 58.4 feet.
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