A typical reaction time to get your foot on the brake in your car is 0.2 second. If you are traveling at a speed of 60 mph (88 f
2 answers:
Answer:
Distance covered in meters= 5.36
Distance covered in feet= 17.6
Distance covered in miles= 3.33*10⁻³
Clarification:
The rule of three is a method for addressing proportional problems between three known values and one unknown, creating a proportionality relationship among them. The goal is to discover the fourth term of a ratio given the other three. Remember that proportionality represents a constant relationship or ratio among different quantities.
If the connection between the quantities is direct, implying that an increase in one quantity leads to an increase in the other (or, conversely, a decrease triggers a decrease), then the direct rule of three should be applied. The process for a direct rule of three follows:
a ⇒ b
c ⇒ x
Then:
This directs us to apply the rule of three as follows, considering a speed of 26.8 : if you move 26.8 meters in 1 second, what distance do you cover in the reaction time of 0.2 seconds?
Distance in meters= 5.36
Next, applying the same rule of three for 88 : if 88 feet is traveled in 1 second, how far in the reaction time of 0.2 seconds?
Distance in feet= 17.6
Finally, considering the fact that 1 hour comprises 3600 seconds, we apply the rule of three based on the speed of 60 mph: if you travel 60 miles in 3600 seconds, what's the distance covered in 0.2 seconds?
Distance in miles= 3.33*10⁻³
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Answer:
The equivalent distance in kilometers is 4012 × km.
Explanation:
It's known that 1 millimeter converts to meters. Then, 1 meter converts to
kilometers. Therefore, the conversion for 1 millimeter to kilometers can be stated as
1 mm = m
1 m = km
Thus, 1 mm = ×
km =
km.
Given the distance of 4012 mm, the corresponding distance in kilometers will be
4012 mm = 4012 × km.
The distance therefore is 4012 × km.
Let us denote as the highest acceleration of the truck by itself. The force generated by the engine to propel the truck in this scenario is
where m is the mass of the truck alone.
Upon attaching a bus that has double the mass of the truck, the total mass of the entire system (truck+bus) becomes (m+2m)=3m. In this situation, the force generated by the engine is
where a2 represents the new acceleration.
Since the engine remains unchanged, the force generated stays the same, allowing us to set the force equations equal to each other:
and solving for a2 gives us:
Response:
0.9 cm
Clarification:
The following illustrates the calculation of the combined rod's length increase:
As established
Length increase = expansion of aluminum rod + expansion of steel rod
= 0.9 cm
We simply summed the expansions of both the aluminum and steel rods to determine the overall increase in the joined rod's length, which must be factored in