speed of the striking object is given as now this speed in SI units given as So here we can use kinematic now to find the height from where it is dropped so here we will have now we have now from above equation now we know that average height …

Read More »## On a vacation, DeVante and his family traveled 382 miles at 64 mph. How long did the trip take? (Round to the nearest hundredth)

On a vacation, DeVante and his family traveled 382 miles at 64 mph. How long did the trip take? (Round to the nearest hundredth)

Read More »## Use the Pythagorean theorem to answer this question. Becca paddles a boat from the south bank of a stream to the north bank. She paddles at a rate of 8 mph. The stream is flowing west at a rate of 6 mph. What is Becca’s actual velocity?

Since a stream of water is perpendicular to the movement of Becca, her boat must have been moving going at an angle of north east. Using the Pythagorean formula, we can calculate for the resultant velocity, c. c^2 = (8 mph)^2 + (6 mph)^2 c^2 = 64 + 36 c^2 …

Read More »## If joe drives 30 mph 1/2 an hour and then 60 for 2 hours, then how far did he drive

Answer: 135 miles Step-by-step explanation: ∵ Distance = speed × Time, Given, Speed = 30 mph, Time = hour, Thus, distance = = 15 miles, Now, speed = 60 mph, time = 2 hours, So, distance = 60 × 2= 120 miles, Hence, the total distance covered = 15 miles …

Read More »## A loaded moving truck is traveling 30 mph faster than a freight train. in the time it takes the train to travel 135 miles, the truck travels 225 miles. find the speed of the truck

Speed of truck= xspeed of train=x-30A loaded moving truck is traveling 30 mph faster than a freight train. in the time it takes the train to travel 135 miles, the truck travels 225 miles. find the speed of the truck. A loaded moving truck is traveling 30 mph faster than …

Read More »## Natural Forces Affecting the Driver In one or more complete sentences, explain how natural laws apply to the following scenarios: How does inertia affect a person who is not wearing a seatbelt during a collision? How does kinetic energy affect the stopping distance of a vehicle traveling at 30 mph compared to the same vehicle traveling at 60 mph? How does kinetic energy affect the stopping distance of a small vehicle compared to a large vehicle? Keeping in mind the kinetic energy of a moving vehicle, how can a driver best prepare to enter sharp curves in the roadway? Using information about natural laws, explain why some car crashes produce minor injuries and others produce catastrophic injuries. Signs, Signals, and Pavement Markings Imagine you are taking a road trip! Select a destination and navigate the trip. Answer the following questions in one or more complete sentences: Where will you go on your trip? You approach a railroad crossing with a cross buck sign that has no lights or gates. What should you do? You arrive at an intersection with traffic lights that are not working because of a power outage. What do you do? There is a flashing yellow light at the intersection you are approaching. What does the flashing yellow light indicate, and what should you do to safely navigate this intersection? On the road you are traveling, the pavement markings change from broken white lines to solid white lines between the lanes of traffic. What does the line change mean? After an hour on the expressway, your passengers need to use the restroom and they want to get some food. As you approach the next exit, what color sign will you look for, and what type of information would you expect to see on that sign? When you take the exit ramp off the expressway and merge onto the next road, you see yellow lines dividing the roadway. What do the yellow lines tell you about the traffic flow?

Natural Forces Affecting the Driver:1. While the car stops, the person continues moving the way that the car were moving and then hits the obstacle in the car or the person can be thrown out of the vehicle. If the person wears belt, he will stop moving with the vehicle …

Read More »## 1. 7.2 aliens =1 monster. 1 monster= 15.5 oranges. Using the conversion above, about how many oranges are equal to 1 alien? 2. In a scaled drawing, 1 millimeter represents 150 meters. How many square millimeters on the drawing represents 1 square meters? 3. While driving with his father, Amit holds his breath whenever they pass through a particular tunnel. Amit counts the number of seconds he holds his breath, from the beginning of the tunnel to the end of the tunnel, and finds that he holds his breath, on average for about 8 seconds. If his father drives the car at 60 mph through the tunnel, according to the average time, Amit holds his breath, about how long is the tunnel. 4. Lea’s car travels on average of 30 miles per gallon of gas. If she spent $20.70 on gas for a 172.5 mile trip, what was the approximate cost of gas in dollars per gallon?

127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7. The statement is equivalent to120=0 (mod n), meaning that n divides 120. All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0. …

Read More »## A runner is running at 5 mph. A bicyclist is bicycling at four times the speed of the runner. What is the difference of the speed of the bicyclist and the runner?

The basis to respond this question are: 1) Perpedicular lines form a 90° angle between them. 2) The product of the slopes of two any perpendicular lines is – 1. So, from that basic knowledge you can analyze each option: a.Lines s and t have slopes that are opposite reciprocals. …

Read More »## A plane can fly 600 miles in the same time as it takes a car to go 120 miles. if the car travels 120 mph slower than the plane, find the speed of the plane.

Answer: a) The time the police officer required to reach the motorist was 15 s. b) The speed of the officer at the moment she overtakes the motorist is 30 m/s c) The total distance traveled by the officer was 225 m. Explanation: The equations for the position and velocity …

Read More »## Randy made a business trip of 204 miles. he averaged 52 mph for the first part of the trip and 50 mph for the second part. if the trip took 4 hours, how long did he travel at each rate?

Answer: Option C – BD=76 cm Step-by-step explanation: Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm. To find : How long BD should it be? Solution : First we draw a rough diagram. The …

Read More »## When you come within 100 ft of the uncontrolled railroad crossing and you cannot see the tracks for 400 ft in both directions, the speed limit is ____ mph?

Answer: a) The time the police officer required to reach the motorist was 15 s. b) The speed of the officer at the moment she overtakes the motorist is 30 m/s c) The total distance traveled by the officer was 225 m. Explanation: The equations for the position and velocity …

Read More »## Two cars leave a town at the same time heading in opposite directions. One car is traveling 12 mph faster than the other. After 2 hours, they are 232 miles apart. What is the speed of each car?

The basis to respond this question are: 1) Perpedicular lines form a 90° angle between them. 2) The product of the slopes of two any perpendicular lines is – 1. So, from that basic knowledge you can analyze each option: a.Lines s and t have slopes that are opposite reciprocals. …

Read More »## Two cars leave a town at the same time heading in opposite directions. One car is travelong 12 mph faster than the other. After 2 hours, they are 232 miles apart. What is the speed of each car

The basis to respond this question are: 1) Perpedicular lines form a 90° angle between them. 2) The product of the slopes of two any perpendicular lines is – 1. So, from that basic knowledge you can analyze each option: a.Lines s and t have slopes that are opposite reciprocals. …

Read More »## Jody drives 120 miles south from Kingston, NY to Princeton, NJ. If she drives 60 mph, how long will it take her to make the trip?

1. To understand this, consider first that the 60 feet of fencing goes all the way around a rectangle and is the perimeter. So, if one side is x, so is the opposite side; and if another side is (30-x), so is its opposite side, so the total perimeter, 60 …

Read More »## How far does a bus travel in 4 hours at 55 mph? 13.75 miles 220 miles 234 miles

Answer: Step-by-step explanation: We are given that each person has 5 weeks in which to save his or her money. We are supposed to find which of the four people will reach his or her goal of saving $285 Member A: Works 8 hours per week at $6.15 per hour …

Read More »## A plane can fly 260 miles downwind in the same amount of time as it can travel 170 miles upwind. Find the velocity of the wind if the plane can fly 215 mph in still air.

Answer: It takes 2 hours to drive from one city to the next. Step-by-step explanation: The length of the straight-line road on the map between two cities is 6 inches. ⇒ Length on map = 6 inches Now, A road map has a scale of 10 miles per inch. So, …

Read More »## If you are in good mental and physical condition, what is your vehicle’s reaction distance when traveling at 40 mph?

The correct answer is A. Stability versus change Explanation: The term Stability versus Changes refers to two different theoretical perspectives about the way personality traits are developed and change over time and whether these are consistent. In the case of Stability, this theory proposes the personality traits some develops at …

Read More »## How long will it take to travel 730 miles at 65 mph?

Answer: New Time taken by Max to cover the same route = 2.8 hours Step-by-step explanation: Time taken by Max to cover a certain distance = 3.5 hours Walking rate of Max to cover the distance = 2.4 miles per hour Let the distance of the route = x miles …

Read More »## In the morning, Margret drove to a business appointment at 50 mph. Her average speed on the return trip in the afternoon was 40 mph. The return trip took (1/4) hours longer because of heavy traffic. How far did she travel to the appointment? …?

In the morning, Margret drove to a business appointment at 50 mph. Her average speed on the return trip in the afternoon was 40 mph. The return trip took (1/4) hours longer because of heavy traffic. How far did she travel to the appointment? …?

Read More »## Suzy and Bill are both racing to the Army Surplus store 189 miles away. Suzy is driving at 15 mph but she also had a 20 second headstart. Bill is driving 25 mph. Who will reach the store first?

Suzy and Bill are both racing to the Army Surplus store 189 miles away. Suzy is driving at 15 mph but she also had a 20 second headstart. Bill is driving 25 mph. Who will reach the store first?

Read More »## Which of the following can be modeled with an exponential function? Select all that apply. A. Height over time that a football is thrown across the field. B. The cost to attend Universal Studios increases by 1% each year. C. An endangered species population is decreasing by 12% each year. D. The distance a bicyclist travels when cycling a constant speed of 25 mph. E. The population of a town that is growing by 5% each year.

Answer: The answer is (B), (C) and (E). Step-by-step explanation: We are given five options out of which we are to select all those which can be modelled by exponential functions. We can see that the options (A) and (D) cannot be modelled by exponential functions, because the rate of …

Read More »## Suppose that a cyclist began a 476 mi ride across a state at the western edge of the state, at the same time that a car traveling toward it leaves the eastern end of the state. If the bicycle and car met after 8.5 hr and the car traveled 33.2 mph faster than the bicycle, find the average rate of each.

X=0 is a vertical line, specifically it is the y-axis of the coordinate plane. 6y-5x=0 6y=5x y=5x/6 and the third line is 3y=21-x y=(21-x)/3 putting aside the first as it is a vertical line, we need to know when y=(21-x)/3 is equal to the line y=5x/6 so 5x/6=(21-x)/3 15x/6=21-x 15x=126-6x …

Read More »## The Race to 300 Mph Case Study Analysis Summary

Strategic Assessments Essays Case Situations In this analysis of case is about “The Race to 300mph” where “300mph is an essential talk on behalf of a Cars organizations, to approve their item as well as in support of a potential proprietors to approve their buy,” speak David Lee, who possesses …

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