A ball is thrown straight down from the top of a 220-footbuildingwith an initial velocity of −22 feet per second.What is its velocity after 3 seconds? What is its velocity afterfalling 108 feet?

Q: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…

A: Distance travelled in second swing is 80 percent of the first swing ( As it decreases by 20…

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: To find least time Angelo has to run in shortest path.

Q: A 25-year old woman burns 250 – 60t cal/hr while walking on her treadmill. Her caloric intake from…

A:

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

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

A:

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: Given: Distance between shoreline and Anglo= 2 kilometers. Distance between Anglo's house and…

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: A golfer takes a swing from a hill twenty feet above the cup with an initial upwards velocity of 32…

A: It is given that, initial upward velocity from the hill is, v=32 feet per second, angle of swing…

Q: Today it has already rained 2 inches and continues to rain at a rate of ¼ inch per hour. How many…

A:

Q: A cyclist covers his first five km. at an average speed of 10 km. p.h., another km. at 8 km. p.h.…

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Q: A 25-year old woman burns 300 – 60t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: The rock hits the surface after 5.38 seconds. With what velocity will the rock hit the surface?

A: Given H=15t-2.79t2 Velocity can be obtained with  differentiation of height. V=dH/dt

Q: A metal sphere cools from 60°C to 50°C in 5 minutes. How much more time (in minutes) will it take to…

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Q: Toronto’s Pearson International Airport has a high-speed version of a moving walkway. If Liam walks…

A: Consider the given information. Liam walks at a normal rate of 1.5 meters per second. Let the…

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: If rain is falling at a rate of 2.47 inches per hour, how much rain would you expect after 3.5…

A: Given: Rate of falling of rain= 2.47 inches per hour and we have to find out the rain after 3.5…

Q: Two children, who are 224 meters apart, startwalking toward each other at the same instant at rates…

A: Two children are 224 meters apart. They start walking toward each other at the same instant at rates…

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

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Q: The population of a certain bacteria culture was 40,876 after 18 hours had elapsed. After another 20…

A: Given that, The population of a certain bacteria culture was 40,876 after 18 hours had elapsed.…

Q: A bacteria sample in a lab grows to double its original mass in 3 hours. At what time will it be…

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Q: One end of a ladder 25 feet long slides down a vertical wall while the other end moves away from the…

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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 25-year old woman burns 250−60t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: At Romar's garden, a sunflower was 14 centimeters tall when it was first planted, and continued to…

A: Given: At Romar's garden, a sunflower was 14 centimeters tall when it was first planted, and…

Q: The side of an equilateral triangle decreases at the rate of 1 inch per second. When the area is 100…

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Q: A 22-inch candle burns down in 11 hours. At what rate does the candle burn, in inches per hour?

A: Given a  234-inch candle burns down in 11 hours. We have to find the rate at which the candle burns,…

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: While traveling to the office, Dolly drives her car at a speed of 60 kmph and then suddenly the car…

A: This is a question of kinetics, mathematical physics, and the application of Differential calculus.

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: A stone is dropped from a cliff of height of 1300 meters. When will the stone reach the ground?

A: Given,  Initial velocity, u = 0 ( rest) Height of the cliff , h = 1300m  Time taken to reach the…

Q: Since the 2-score in freestyle is [Select] score in backstroke, his time in freestyle when compared…

A: here use z-score  z = x- μσ

Q: As Nancy walks away from a 700 cm lamppost, the tip of her shadow moves 40% faster than she does.…

A: Height of lamppost = 700 cm Tip of her shadow moves 40% faster than she does.

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: A 25-year old woman burns 350−30t cal/hr while walking on her treadmill. Her caloric intake from…

A: To find the net decrease in calories after walking for 2 hours.

Q: An airliner flies at 510 mph in the jet stream, but only 270 mph returning against it. What is the…

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Q: the average monthly bill for wireless subscribers from 1985 to 2008 can be modeled by…

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Q: A dead fish was found inside a compartment that is able to maintain a constant temperature of 373…

A: let D be the body temperature at t seconds according to question, initially , at time t=0D=900…

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 hot air balloon was rising at a rate of 494 feet per minute convert this speed to meters per…

A: This is simple conversation we will convert both according to given data.

Q: A 25-year old woman burns 250−50tt cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: A rectangular box with square base is 10 cm tall and 4 cm wide. If its height is increased by 0.5…

A: Calculate the area of base of box.

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…

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Q: If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet…

A: applying the concet of projectile motion, using, height 'h' after t seconds is given by the…

Q: A 5 foot tall woman walks at 8 feet per second toward a streetlight that is 20 feet above the…

A: Let's draw the sketch for the given scenario:                                           Hence in…

Q: One end of a ladder 34 feet long slides down a vertical wall while the other end moves away from the…

A: Note:  According to our guidelines we are supposed to do only first question. Kindly repost other…