Two children, who are 224 meters apart, startwalking toward each other at the same instant at rates of1.5 and 2 , respectively When will they meet?

Q: mountain climber descends at a rate of 20 meters per second. how far will he bescend after 6 second

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Q: A ball is thrown straight down from the top of a 220-footbuildingwith an initial velocity of −22…

A: Use the position function, s(t)=-16t2+v0t+s0 and substitute v0 and s0 with -22 and 220,…

Q: A person running at 45 kilometers per hour (KPH) is riding a train at 120 KPH going to Manila. Who…

A: Given that , Speed of a person = 45KPH  Speed of a train = 120KPH  Because, we have same unit of…

Q: A 5 foot girl is walking toward a 20- foot lamppost at the rate of 6 feet per second. How fast is…

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Q: A projectile is shot upward from the top of a 220-foot building with an initial velocity of -22 feet…

A:

Q: Movement along the San Andreas Fault Averages 6 cm/year. At this rate, how long will it take for Los…

A: Given : Average movement of San Andreas Fault= 6 cm/year

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -110 feet per…

A:

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

A: We have to find rate at which the distance between the buses is changing when they are 13 miles…

Q: A light is hung 6 meters above a straight horizontal path. If a man 2 meters tall is walking toward…

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Q: Use the position function s(t) = −16t 2 + v0 t + s0 for free-falling objects.

A: The position function is given. Using this the velocity function is determined by taking its first…

Q: 4. Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost…

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Q: A 6 foot tall man is walking at a rate of 40 metres per minute directly away from a wall with a…

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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: A candle on Pauline dresser is 4 inches tall.and burns at a rate of 0.6 inches per hour . How many…

A: Topic - equation in one variable

Q: Two cars that started at the same point are driving away from each other. The first car is driving…

A: Given,          Two cars that started at the same point are driving away from each other. The first…

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

A: Let t= time in second d=distance Also, consider second skater time in second is t .

Q: Shan, who is 2 meters tall, is approaching a post that holds a lamp 6 meters above the ground. If he…

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Q: Two trains leave towns  471  miles apart at the same time and travel toward each other. One train…

A: Two trains leave towns 471 miles apart at the same time and travel toward each other. One train…

Q: Two trains travel toward each other from points which are 195 miles apart.They travel at rate of 25…

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Q: Two cyclists start at the same point and travel in opposite directions. One cyclist travels  9…

A:

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: 3. Scientists have measured that an adult female cheetah can accelerate to 65 miles per hour in 3…

A: This question is based on the concept of uniform speed or constant acceleration. Given: Speed of…

Q: An object dropped from a height of 180 meters   hits the ground with velocity ???

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Q: Two cyclists start at the same point and travel in opposite directions. One cyclist travels 10mi/h…

A: According to the given information,   Let the one cyclist, the slower one travels at the rate of x…

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

A:

Q: A limestone stalactite grew in length at a rate of – of a millimeter per year. At this rate, how…

A: Given the limestone is growing at a rate of 18mm per year i.e. 0.125 mm every year

Q: The London Eye is a Ferris wheel in London, England, that travels at a speed of 0.26 meter per…

A:

Q: A projectile is shot upwards from the surface of the earth with an initial velocity of 120 meters…

A: To determine: The velocity of a projectile after 6 seconds and after 9 seconds where a projectile is…

Q: A bunch of hooligans dump 164 pounds of  pizza boxes into a lake. If the pizza boxes dissipates at a…

A:

Q: A piece of wire of length 12 cm was cut into two pieces. The first was folded to form an equilateral…

A:

Q: Only male crickets chirp. They chirp at different rates depending on their species and the…

A: Only male crickets chirp. They chirp at different rates depending on their species and the…

Q: 4. A car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at…

A: Let the distance travelled by car travelling at 45 mph from intersection be x at any point of time.…

Q: If rain is falling at a rate of 2.17 inches per hour, how much rain would you expect after 3.25…

A: Given, that  rain is falling at a rate of 2.17 inches per hour Means in 1 hour 2.17 inches rain…

Q: Two cyclists, 90 mi apart, start riding toward each other at the same time. One cycles twice as fast…

A: Given that, the distance between two cyclists is 90 mi, and one cycles twice as fast as the other…

Q: A body cools from 75°C to 70°C in 2 minutes. What will additional time (in minutes) it takes to cool…

A: Topic:  Newton's Law of cooling using application of calculus

Q: One car leaves a given point and travels north at 30 mph. Another car leaves1 hour later, and…

A:

Q: Two cyclists, 48 mi apart, start riding towards each other at the same time. One cycles twice as…

A: Given that two cyclists is 48mi apart riding towards each other at the same time and one cycle is…

Q: During a research experiment, it was found that the number of bacteria in a culture grew at a rate…

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Q: Two joggers start from opposite ends of an 8 mile course running towards each other One jogger is…

A: Let after x hours they will meet. We will use the formula: Distance= speed*time  Speed of first…

Q: 6. Shan, who is 2 meters tall, is approaching a post that holds a lamp 6 meters above the ground. If…

A:

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -105 feet per…

A: Given,           A stone is dropped from the edge of a roof, and hits the ground with            a…

Q: A man, running 3 meters per second in an open field, runs east for 30 seconds, then turns north.  If…

A: Since the man ran 3m/s east for 90 sec so he is 90 m from the searchlight. Consider the diagram…

Q: An airplane travels 1950 km against the wind in 3 hours and 2340 km with the wind in the same amount…

A: Given Data: The distance covered by the aeroplane while travelling against the wind is: d1=1950 km…

Q: Initially, a pendulum swings through an arc of 2 meters. On each successive swing, the length of arc…

A:

Q: A jet travels 4576 mi against a jetstream in 8 hours and  5696 mi with the jetstream in the same…

A: Let, the rate of the jet in still air is = x mi/hourAnd the rate of the jet stream = y mi/hour.Speed…

Q: Two cyclists, 112 miles apart, start riding toward each other at the same time. One cycles 3 times…

A:

Q: A and B start toward each other at the same time from points 150 miles apart. If A went at the rate…

A:

Q: The base of a 20-foot ladder is sliding toward a wall at a rate of 1.5 feet per second. How fast is…

A: We solve the above problem.

Q: The homicide rate decreases at a rate of 3%/yr in a city that had 800 homicides/yr in 2018. At this…

A: dH / dt = rate of change of homicide rate = - 3% = - 0.03 x HPlease see the white board for…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.