A driver involved in an accident claims he was going only 25 mph. When police tested his car, they found that when its brakes were applied at 25 mph, the car skidded only 45 feet before coming to a stop. But the driver’s skid marks at the accident scene measured 210 feet. Assuming the same(constant) deceleration, determine the speed he was actually traveling just prior to the accident.

Q: An airplane is flying west at 500 ft/sec at a constant altitude of 4000 ft and a searchlight on the…

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Q: Two small planes approach an airport, one flying due west at 120 mi/hr and the other flying due…

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Q: A car is traveling at 100 km/h when the driver sees an accident 80 m ahead and slams on the brakes.…

A: Given data:   The initial speed of the car is u=100 km/h. The given distance is s=80 m=0.08 km.…

Q: The State of Illinois Cycle Rider Safety Program requires motorcycle riders to be able to brake from…

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Q: A small metal bar, whose initial temperature is 40°C, is dropped into a container of boiling water…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Suppose you drive for 60 miles at 60 miles per hour, then for 60 miles at 30miles per hour. In miles…

A: Recall the equation connecting the three variables of speed, distance and time as: time = distance /…

Q: To what constant deceleration would a car moving along a straight road be subjected if the car were…

A: The first equation of motion states that, v = u+at, here v is the final velocity, u is the initial…

Q: Grumpy, anti-social Professor Sosa loves standing on top of a 262 ft building and tossing water bal-…

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Q: The current in a typical Mississippi River shipping route flows at a rate of 4 mph. In order for a…

A: Let the speed of barge in still water be x miles per hour. Given the speed of river is 4 miles per…

Q: An airliner passes over an airport at noon traveling 510 mi / hr due east. At 1:00 p.m., another…

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Q: A police cruiser, approaching a right-angled intersection from the north, is chasing a speeding car…

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Q: If a particle starts from rest, what constant acceleration is required to move the particle 50 mm in…

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Q: A car traveling at 42 ft/sec decelerates at a constant 44 feet per second per second. How many feet…

A: Given,A car traveling at 42 ft/sec decelerates at a constant 4 feet per second.i.e., initial…

Q: A box weighing 50lbs falls from rest and the air resistance is proportional to his speed V and that…

A: We need to find velocity.

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?, where k is a…

A: The given question has been solved in detail.

Q: If a cannonball is fired from a hillside 75 meters above ground with an initial velocity of 100…

A: Initial velocity = 100m/s  Fired from a hillside 75 m above ground Final velocity , v = 0

Q: With snow on the ground and falling at a constant rate, a snowplow began plowing down a long…

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Q: Zoologists studying the ecology of the Serengeti Plain estimate that the average adult cheetah can…

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Q: What constant acceleration is required to increase the speed of a car from 20 mi/h to 45 mi/h in 5…

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Q: An auto A is moving at 20 ft/s and accelerating at 5 ft/s2 to overtake an auto B which is 384 ft…

A:

Q: A car traveling at 45 miles per hour is brought to a stop, at constant deceleration, 132 feet from…

A: Given: A car traveling at 45 miles per hour.

Q: A bomb is dropped from a helicopter hovering at an altitude of 800 feet above the ground. From the…

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Q: Two buses are driving along parallel freeways that are 5mi apart, one heading east and the other…

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Q: the flight from Seattle to New York, with a tailwind, takes 5 hrs 15 min, and the return flight take…

A: This question can be solved using the concept of speed, time and distance.

Q: Suppose a cyclist was using a 150-millimeter-diameter chainring and an80-millimeter- diameter…

A: Given: Let, dc  and rc denotes the diameter and radius of Chainring respectively and ds  and  rs…

Q: Suppose a car is going 31 miles per hour and slams on the break and decelerates at 13 feet per…

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Q: Two buses are driving along parallel freeways that are 12 miles apart with one bus heading east and…

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Q: Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost which…

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Q: A bus is cruising at 40 miles per hour when suddenly the driver notices a deer on the road ahead of…

A: We need to find the stopping distance from the given information.Let s be the stopping distance.

Q: A car traveling at 46 ft/sec decelerates at a constant 7 feet per second per second. How many feet…

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Q: Two buses are driving along parallel freeways that are 20 mi apart, one heading east and the other…

A: In right angle triangle , B2  + P2 = H2   ( Using Pythagoras Theorem ) Where B is base , P is…

Q: A car traveling at 46 ft/sec decelerates at a constant 8 feet per second per second. How many feet…

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Q: One speed skater starts across a frozen lake at an average speed of 9 m/s. Ten seconds later, a…

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Q: At what fraction of the speed of light does Alice have to travel relative to Bob so that Alice does…

A: Given Alice does everything three times as slowly as Bob Find The fraction of speed

Q: Two small planes approach an airport, one flying due west at 100 mi/hr and the other flying due…

A: Solution is here

Q: Youre flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 42 km south and 198 km…

A: Given, An undisclosed location is 42 km south and 198 km east from Joint Base Lewis-McChord. Mt.…

Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 494 mi/h and…

A: Point A represents position of airplane A. Point B represents position of airplane B.Point C…

Q: The brakes of a car are applied when it is moving at 80 km/h and provide a constant deceleration of…

A:

Q: How long does it take the rock to reach half its maximum height? How long is the rock aloft?

A: Given : velocity of rock thrown vertically upward = 8 m/sec Height, s = 8

Q: A car braked with a constant deceleration of 40 ft/s2, producing skid marks measuring 80 ft before…

A: Deceleration = dv/dt And v = dx/dt where v is the velocity and x is the displacement Hence,…

Q: What constant acceleration is required to increase the speedof a car from 30 mih to 50 mih in 5 s?

A: Given: u=30 mihour, v=50 mihour, t=5 second for finding acceleration, first we convert given…

Q: An aircraft is climbing at a constant 32 degree angle to the horizontal. If the speed is 550 mph,…

A: Refer to the question . An aircraft is climbing at a constant 32 degree angle to the horizontal and…

Q: A car is traveling at  100km/h when the driver sees an accident80 m ahead and slams on the brakes.…

A:

Q: What is the difference between an object with constant acceleration and an object with constant…

A: Solution: The objective is to determine the difference between an object with constant acceleration…

Q: On the moon, the acceleration due to gravity is 1.6 m/sec2. a) If a rock is dropped into a crevasse,…

A: a) The acceleration due to gravity on the moon is -1.6 m/sec2. Recall that the second derivative of…

Q: was an earthquake in South America with magnitude 4.3 that caused only minor damage. How many times…

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Q: What constant acceleration will bring an automobile traveling 60 mph to rest in 160 feet?

A: Explained below

Q: An express train reducing its velocity to 40 km./h. , has to apply the brakes for 50 sec.. If the…

A: Rate of change of velocity is called acceleration. When there will be retardation,the sign of…

Q: When the velocity v of an object is very large, the magnitude of the force due to air resistance is…

A: Consider the provided question, Given , mass of the shell = 2 kg Acceleration due to gravity = 9.81…

Q: A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft with an initial speed of 32…

A:

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.