A man walks a certain distance at the rate of 6 km/hr. and returns at the rate of 4km/hr. If the total time that it takes him is 4 hours and 30 minutes,determine the total distance he travelled. Draw a graph

Q: PROBLEM 1: Travelling with an initial speed of 70 km/hr, a car accelerates at 6000 km/hr² along a…

A: Answer We are given Initial speed u = 70 Km/hr Final speed v = 120 km/hr Car acceleration a = 6000…

Q: 2. Given the figure in the next page, answer the following questions: a. Determine the resulting…

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Q: -126 ft

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Q: At the start of a trip of a car, its odometer reads 22687 km, at the end of the trip it reads 22791…

A: Initial reading on odometer=22687 km Final reading on odometer=22791 km Time taken=4 h=4×60×60=14400…

Q: What is the probability that the headway between successive vehicles more than 20 seconds? 18.20%…

A: volume of vehicles = 320 vehicles/ hr  probability  that the headway between successive vehicles…

Q: Tourists arrive at the Manila Zoo at a rate of 250 vehicles per hour. But before entering the zoo,…

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Q: 5. What is the meaning of a negative velocity v? Can an aircraft have a negative velocity vof say,…

A: 5) A velocity can be described as a negative one with respect to a unique set of coordinates  in a…

Q: A bicyclist is moving 6m/s when he is passed by another bicyclist. He instantly begins to accelerate…

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Q: The graph shows the airplane's acceleration during take-off. What distance has the airplane traveled…

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Q: 2. Determine the distance traveled of a car using all data below: Time in mins. 1 2 3.25 4.5…

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Q: Refer to the previous problem, determine the average time spent by the vehicles on the system…

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Q: Assume you are observing traffic in a single lane of a highway at a specific location. You measure…

A: Traffic flow ,q = Number of vehicles passing a particular section of road in a unit time Traffic…

Q: Q3: Suppose that the time to failure (in hours) of fans in a personal computer can be modeled by an…

A: The concept of exponential distribution is used to solve this problem. Exponential distribution is…

Q: Starting from rest, a 60-kg skier slides down a frictionless slope inclined at an angle of 25°. What…

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Q: If it takes a bicyclist 25 seconds to reach a speed of 10 km/h from rest, what is her acceleration?…

A: acceleration is the rate of change of the velocity of an object with respect to time. Accelerations…

Q: estimate a 50m distance? 2.) Convert 287°47’23” to radians.

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Q: Activity 1. An automobile has a speed of 90 km/hr when the brakes are applied. The car is slowed…

A: Given data, Initial speed u = 90km/hr              = (90×5)/18 =  25m/s final speed,v =0,…

Q: A student recorded the following number of paces after walking a distance of 50 m repeatedly as…

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Q: A car starts from rest and accelerates at 6 m/s2. What is the speed of the car after 4 seconds?

A: We know that , given problem can be solved by using one of the motion equations...

Q: 3. A car comes to a complete stop from an initial speed of 50 mph in a distance of 100 ft. With the…

A: Given data- Case-AInitial speed u=50 mph=50×0.44704 m/s=22.352 m/ssince 1 mph=0.44704 m/sfinal speed…

Q: Car A is accelerating in the direction of motion at the rate of 1.2m/s. Car B is rounding a curve of…

A: Step 1

Q: Three cars travel over a 60 m. section of highway at constant speeds of 19, 20 and 25 m/s. Compute…

A: Given- constant speeds- v1= 19 m/s v2= 20 m/s v3= 25 m/s

Q: 14. A balloon with a shape of a sphere is filled with air at a rate of 1 cubic meter per minute.…

A: Given: Volume = 36π, Rate of air filled = 1m3/min

Q: The population growth (P) at any time in a city is governed by the equation dP (B-Dr)P, where r is…

A: Given,  B = 0.1 D = 10-6  Po = 10000

Q: Figure 6 Q/In Figure 6 up, if the height of the house from the street level is 60 cm, discuss how to…

A: The slope of the ramp used without damage to the car is 1 : 12. This slope provides the minimum…

Q: What is the range of reaction distances for a car traveling at 70 miles per hour? (Use the lower end…

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Q: from the time he saw a hazard until he applied the brakes. He was travelling at 43 kph with…

A: Given data -  Speed (v) =43kph = 43×(5/18) m/s            V = 11.94 m/s     Time (t) = 2.1 seconds…

Q: 2-) A footbal player wants to throw the ball into the hole which is behind the wall. If she can kick…

A: Applying projectile motion  equations formulas to be used, R=vo2sin2θog…

Q: A wooden crate is being towed by an inclined force with a magnitude of 100lb. If the crate already…

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Q: Calculate the speed of a dog running through a field if he is covering 23.7 meters in 54 seconds,

A: Given data : The distance covered by dog=D D=23.7 meters The time taken by dog to travel distance of…

Q: A motorbike has a constant speed of 5.00 m/s along a straight line from point A to point B and then…

A: Average speed: The total distance travelled by the object or a vehicle in a time 't' is known as…

Q: Q1) A train moves to the East accelerates from rest to 40 Km/h in the first 30 seconds of its…

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Q: At a given instant the football player at A throws a football C with a velocity of 20 m/s in the…

A: Calculate the relative velocity and relative acceleration of the football with respect to B at the…

Q: The length and width of panels used for interior doors (in inches) are denoted as X and Y,…

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Q: An automobile starts from rest and reaches a speed of 42 m/s in 15 seconds. The acceleration…

A: Given data- Initial speed, u=0 m/sFinal speed after 15 seconds, v=42 m/sTime, t=15 sInitial…

Q: Question 5. What is the terminal velocity ( m / s) for a 4g particle which is falling in the water…

A: step 1-

Q: figure shows a train traveling at a constant uniform velocity of 75 kph and a car travelling at a…

A: Given velocity of car = 36 Kph  Velocity of train = 75 Kph Distance to point O = 1km for both…

Q: 1. Marites was mad at her brother so she took her brother's iphone and dropped it out the window. If…

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Q: The displacement of a particle that moves along the x-axis is given by x = (-4 + 3t^2)e^-0.25t,…

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Q: At a given instant the jet plane has speed of 400 fps and an acceleration of 70 fps? acting in the…

A: Given speed =400 fps acceleration = 70 fps2 θ =600 Rate of increase in plane speed =? The radius of…

Q: Calculate the average speed of a body traveling 120m to the south in one minute

A: Given data,  Distance = d = 120m  Time = 1 minute = 60 sec  Find : Average speed (S) ?

Q: A boat has an initial speed of 12 ft/s . It then increases its speed along a circular path of radius…

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Q: If the motion of a jet after landing on a runway is shown by the a-t graph below. Note that at t =0…

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Q: A plugged dishwasher sink with the dimensions of 60 cm × 50 cm × 30 cm is being filled with water…

A: Given:- dimensions=60cm x 50 cm x 30cm inner diameter=2.5m t=40sec To find:- average velocity

Q: 12.000 m 1600 m- Transport Costs (m3 /$) Effective Transport Distances (m) mj= Vx 1 l= 160 m2= Vx 2…

A: Given data  Effective transport distance  Transport cost   To find Total cost

Q: Age of Driver Accident Per Year 20 260 40 180 A, B, and C and the year for an age of 30. Find the…

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Q: A car moves along a circular path with radius of ( 15 m) at a speed of ( 30 m/s ), if speed of the…

A: Radius of the circular path = r = 15m Speed of car = v = 30 m/sec Resultant acceleration = aR = 78…

Q: A utility company in a large metropolitan area finds that 70% of its customers pay a given monthly…

A: Let  E1 = event that customer-1  pays the bill. E2 = event that customer-2 pays the bill.…

Intersection Design

An intersection is a location where two or more roads or railways meet or join. The traffic movement is controlled at the intersection that depends on its design and type. It governs the operation, efficiency, speed, capacity, and safety of the highways, airways, and railways. The movement of the pedestrian causes hazards and delays at the intersection.