Answer :
To find the approximate stopping distance for a car traveling at 35 mph on a wet road, you can use the provided formula:
[tex]\[ a(v) = \frac{2.15 \cdot v^2}{64.4 \cdot f} \][/tex]
where:
- [tex]\( v \)[/tex] is the speed in mph.
- [tex]\( f \)[/tex] is the friction coefficient, assumed as given.
1. Set the speed: The speed [tex]\( v \)[/tex] is given as 35 mph.
2. Assume friction coefficient: The friction coefficient [tex]\( f \)[/tex] is assumed to be 1, unless specified otherwise.
3. Substitute into the formula:
[tex]\[
a(35) = \frac{2.15 \cdot 35^2}{64.4 \cdot 1}
\][/tex]
4. Calculate: After you plug in the values and compute, you get the stopping distance. The calculated result is approximately:
[tex]\[
40.9 \text{ feet}
\][/tex]
Therefore, the stopping distance for a car traveling at 35 mph on a wet road is approximately 40.9 feet.
[tex]\[ a(v) = \frac{2.15 \cdot v^2}{64.4 \cdot f} \][/tex]
where:
- [tex]\( v \)[/tex] is the speed in mph.
- [tex]\( f \)[/tex] is the friction coefficient, assumed as given.
1. Set the speed: The speed [tex]\( v \)[/tex] is given as 35 mph.
2. Assume friction coefficient: The friction coefficient [tex]\( f \)[/tex] is assumed to be 1, unless specified otherwise.
3. Substitute into the formula:
[tex]\[
a(35) = \frac{2.15 \cdot 35^2}{64.4 \cdot 1}
\][/tex]
4. Calculate: After you plug in the values and compute, you get the stopping distance. The calculated result is approximately:
[tex]\[
40.9 \text{ feet}
\][/tex]
Therefore, the stopping distance for a car traveling at 35 mph on a wet road is approximately 40.9 feet.
