Calculate Distance for Bob to Stop at Stop Sign (2024)

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Nice work!In summary, Bob needs to apply his brakes 40 meters before a stop sign in order to stop at the sign. This is calculated by using the formula d = (vi+vf)/2 * t, where vi is the initial velocity, vf is the final velocity, and t is the time it takes to come to a stop.

  • #1

billybobay

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Homework Statement

When Bob applies the brakes to his car, it slows uniformly from 20.0 m/s to 0.0 m/s in 4.0 s. How many meters before a stop sign must he apply his brakes in order to stop at the sign?

80 m

60 m

40 m

20 m

Homework Equations

d=(20+0)/2(4)
d= 40 m

The Attempt at a Solution

Bob needs 40 m to stop his car.

Would that be correct?

  • #3

PotentialE

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Distance = ??
Time = 4s
Velocity initial = 20m/s
Velocity final = 0m/s
Acceleration = ??

A = Vf-Vi / T
A = -20 / 4
A = -5m/ss

D = ViT + ATT/2
D = (20)(4) + (-5)(4)(4) / 2
D = 80 + -40
D = 40m

yes, you're correct

  • #4

SammyS

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  • #5

asteriatic

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Yes, your calculation is correct. Bob would need to apply his brakes 40 meters before the stop sign in order to stop at the sign with a uniform deceleration of 5 m/s^2. This distance can be calculated using the formula d = (v1 + v2)/2 * t, where v1 and v2 are the initial and final velocities, respectively, and t is the time it takes to decelerate. It is important for drivers to be aware of their car's deceleration rate and apply the brakes in a timely manner in order to stop safely at stop signs.

Related to Calculate Distance for Bob to Stop at Stop Sign

1. How do you calculate the distance for Bob to stop at a stop sign?

To calculate the distance for Bob to stop at a stop sign, you first need to know the speed at which Bob is traveling. Then, using the formula d = (v^2)/(2a), where d is the distance, v is the initial velocity, and a is the deceleration, you can calculate the distance needed for Bob to come to a complete stop.

2. What factors affect the distance needed for Bob to stop at a stop sign?

The distance needed for Bob to stop at a stop sign is affected by several factors, including the speed at which Bob is traveling, the weight of his vehicle, the condition of his brakes, and the road conditions (such as wet or icy roads). These factors can impact the deceleration of the vehicle and therefore, the distance needed to come to a stop.

3. Is there a standard distance requirement for stopping at a stop sign?

There is no standard distance requirement for stopping at a stop sign. The distance needed to stop at a stop sign can vary depending on the factors mentioned above. However, most states have laws that require drivers to be able to stop within a certain distance, such as within the distance they can see ahead of them.

4. How can I ensure that I am stopping at the appropriate distance at a stop sign?

To ensure that you are stopping at the appropriate distance at a stop sign, it is important to follow the speed limit and pay attention to road conditions. Additionally, regularly maintaining your vehicle's brakes can help ensure they are functioning properly and can stop your vehicle at the appropriate distance.

5. How does the distance needed for Bob to stop at a stop sign differ for different types of vehicles?

The distance needed for Bob to stop at a stop sign can differ for different types of vehicles. Heavier vehicles may require a longer distance to come to a complete stop, while smaller vehicles may be able to stop in a shorter distance. Additionally, vehicles with newer or more advanced braking systems may be able to stop in a shorter distance compared to older vehicles or those with less advanced braking systems.

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                      Calculate Distance for Bob to Stop at Stop Sign (2024)

                      FAQs

                      What is the formula for calculating stopping distance? ›

                      To determine how far the vehicle will travel while braking, use the formula of 1/2 the initial velocity multiplied by the time required to stop.

                      How close to a stop sign do I need to stop? ›

                      Our Expert Agrees: If there's a white line, stop just before that line, and if there are additional lines, stop just in front of the first one. However, if there are no lane markings, stop about a foot before you reach the stop sign.

                      How do you calculate typical stopping distance? ›

                      A trick you can use to calculate stopping distances in feet is to use the travelling speed and multiply it with intervals of 0.5, starting with 2 for 20mph. For example: 20mph x 2 = 40 feet. 30mph x 2.5 = 75 feet, etc.

                      How to calculate stopping distance dmv? ›

                      Take your speed, multiply it by 1/10 of your speed and divide the result by two. The result is your stopping distance, after the brakes are applied, in feet. add the distance you travel in one second to the stopping distance to find the total distance, in feet, it will take you to stop.

                      What is the distance formula trick? ›

                      Speed, Time, and Distance Formulas
                      TERMSFORMULAS
                      DISTANCEDISTANCE= SPEED × TIME
                      TIMETIME= DISTANCE/SPEED
                      AVERAGE SPEEDAVERAGE SPEED= TOTAL DISTANCE TRAVELLED/TOTAL TIME TAKEN
                      AVERAGE SPEED (WHEN DISTANCE IS CONSTANT)2xy/x+y
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                      Mar 20, 2024

                      What is the formula for calculating distance? ›

                      Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

                      How far behind the limit line should I stop? ›

                      When stopping at a limit line, do not cross over the line. If stopping behind a vehicle, leave enough space to see their rear wheels.

                      What is the rule of stop sign in the US? ›

                      The Four Rules
                      • Rule #1: First to arrive, first to drive. If you arrive at the intersection first, come to a complete stop, then proceed. ...
                      • Rule #2: Right of way goes to the right. ...
                      • Rule #3: Straight doesn't have to wait. ...
                      • Rule #4: Left turn yields to right.
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                      How close to a stop sign can I park? ›

                      According to the Vehicle and Traffic Law Section 1202 (2), no person shall stand or park a vehicle, whether occupied or not, except momentarily to pick up or discharge a passenger or passengers within 30 feet upon the approach to any flashing signal, stop or yield sign or traffic-control signal located at the side of ...

                      What is the correct stopping distance? ›

                      Stopping distances at different speeds
                      SpeedThinking + braking distanceStopping distance
                      30mph9m + 14m23m (75 feet)
                      40mph12m + 24m36m (118 feet)
                      50mph15m + 38m53m (174 feet)
                      60mph18m + 55m73m (240 feet)
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                      What is the formula for stopping side distance? ›

                      dPRT = 1.47 Vt (US customary) Where: dPRT = driver perception-reaction distance, m (ft) V = design speed, km/h (mph)

                      What is the easiest way of calculating total stopping distance? ›

                      The easiest way of calculating total stopping distance is to use the THREE SECOND RULE. When safe and legal, a turnabout maneuver allows the driver a method of turning the car around using the roadway, side roads, alleys or driveways.

                      What is the formula of the stopping distance? ›

                      The stopping distance formula is given by d = v²/2μg or d = kv². Where, d is stopping distance, v is velocity, μ is friction coefficient, g is acceleration due to gravity, and k is a constant of proportionality.

                      How can you estimate your stopping distance? ›

                      The rule used to estimate your total stopping distance under ideal conditions is the 3-second travel rule. This rule states that you should maintain a distance of at least three seconds from the vehicle in front of you to allow for a safe stopping distance.

                      How to calculate how long it takes to stop? ›

                      It's simple: You take the speed, divide it by the deceleration, and that gives you the time required to stop it. So if you throw a ball upwards at 30 m/sec, and the deceleration due to gravity is 9.8 m/sec², then 30/9.8 gives you 3.06 seconds.

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