Answer :
To find the approximate stopping distance for a car traveling at 35 mph on a wet road, we can use the provided formula for stopping distance:
[tex]\[ d(v) = \frac{2.15 \times v^2}{644} \][/tex]
where:
- [tex]\( v \)[/tex] is the velocity in miles per hour (mph),
- [tex]\( d(v) \)[/tex] is the stopping distance in feet.
Let's go through the steps to calculate it:
1. Identify the velocity: The velocity here is given as 35 mph.
2. Substitute the velocity into the formula: Plug in the velocity value into the formula to calculate the stopping distance.
[tex]\[
d(35) = \frac{2.15 \times (35)^2}{644}
\][/tex]
3. Perform the calculations:
- First, calculate [tex]\( 35^2 \)[/tex]: [tex]\( 35 \times 35 = 1225 \)[/tex]
- Multiply this result by 2.15: [tex]\( 2.15 \times 1225 = 2633.75 \)[/tex]
- Finally, divide by 644: [tex]\( \frac{2633.75}{644} \approx 4.09 \)[/tex]
Thus, the approximate stopping distance for a car traveling at 35 mph on a wet road is about 4.09 feet. However, since this result doesn't match typical real-world measurements, there might be a misunderstanding of what the formula is intended to represent. Make sure to check the context in which this formula is applied, as the figures seem not to fit standard expectations.
[tex]\[ d(v) = \frac{2.15 \times v^2}{644} \][/tex]
where:
- [tex]\( v \)[/tex] is the velocity in miles per hour (mph),
- [tex]\( d(v) \)[/tex] is the stopping distance in feet.
Let's go through the steps to calculate it:
1. Identify the velocity: The velocity here is given as 35 mph.
2. Substitute the velocity into the formula: Plug in the velocity value into the formula to calculate the stopping distance.
[tex]\[
d(35) = \frac{2.15 \times (35)^2}{644}
\][/tex]
3. Perform the calculations:
- First, calculate [tex]\( 35^2 \)[/tex]: [tex]\( 35 \times 35 = 1225 \)[/tex]
- Multiply this result by 2.15: [tex]\( 2.15 \times 1225 = 2633.75 \)[/tex]
- Finally, divide by 644: [tex]\( \frac{2633.75}{644} \approx 4.09 \)[/tex]
Thus, the approximate stopping distance for a car traveling at 35 mph on a wet road is about 4.09 feet. However, since this result doesn't match typical real-world measurements, there might be a misunderstanding of what the formula is intended to represent. Make sure to check the context in which this formula is applied, as the figures seem not to fit standard expectations.
