For a 192-lb ice skater, the k in Equation (1) is about 1 / 3 slug /sec and m = 192/32 = 6 slugs. How long will it take the skater to coast from 11 ft /sec (7.5 mph) to 1 ft/ sec? How far will the skater coast before coming to a complete stop?

Q: A cyclist coasts up a 11.3° slope, traveling 19.0 m along the road to the top of the hill. If the…

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Q: If a rock is thrown upward on the planet Mars with a velocity of 10m/s, its height (in meters) after…

A: This is application of derivative problem

Q: For a moving object, the force acting on the object varies directly with the object's acceleration.…

A: Given that force  acting on the object varies directly with the object's acceleration.

Q: The rate of a small aircraft in calm air is 125 mph. If the wind is currently blowing south at a…

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Q: The number of gallons of water, W, used when taking a shower varies directly as the time, t, in…

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Q: The acceleration of a Maserati is proportional to the difference between 250 km/h and the velocity…

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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 value v of a porsch 718bCayman that is t years old can be modelled by v(t)=420000(0.965)t What…

A: The value is governed by the equation, v(t)=420000(0.965)2

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: It takes 15 minutes for a 100° C object to cool to 80° C in a room at 30° C. How much longer will it…

A: We will find out the required time

Q: The answer 527 ft^3/min is for the problem "What volume of fresh air containing 0.05 percent CO2…

A: Please check step 2 and 3 for the solution.!

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: A 600 gallon brine tank is to be cleared by piping in pure water at 1 gal/min. , and allowing the…

A: Let S be pounds of salt in tank at time t, so: or Rewritting the equation above we get:…

Q: The mass of a cube in grams is M=x^3+0.1x^4, where is the length of one side in centimeters. If the…

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Q: A cold metal bar at −30◦C is submerged in a pool maintained at a temperature of 40◦C. Half a minute…

A:

Q: A robotic machine fills containers with an acid solution at the rate of 90 + 6t milliliters (mL) per…

A:

Q: 1 a. Caleb rides his bike with a constant speed of 8 miles per hour, How long will he take to travel…

A: Given that Caleb rides bike with a constant speed of 8 miles per hour. Distance travelled is 20…

Q: An object is thrown downward, with an initial speed of 16 ft/s, from the top of a building 192 ft…

A:

Q: A robotic machine fills containers with an acid solution at the rate of 90 + 3t milliliters (mL) per…

A:

Q: Hey laptop computer consumes about 20 W of electricity per hour when operating at 10 since per kilo…

A: Given, Power consumption of a laptop is 20 watts of electricity per hour. It is uses for 5 hours.

Q: The intensity of a light from a light bulb varies inversely as the square of the distance from the…

A: According to the question given that the intensity I of a light bulb varies inversely as the square…

Q: A ball is dropped down a well and 5 sec later the sound of the splash is heard. If the velocity of…

A: The complete solutions are given below

Q: The speed of a moving sidewalk at an airport is 2ft/sec. A person can walk 45ft forward on the…

A: Let his speed on a non-moving sidewalk is = x ft/sec Given the speed of the moving sidewalk = 2…

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

A:

Q: 2. A airplane, flying with the wind, took 2 hours to travel 1000 km and 2.5 hrs in flying back. What…

A:

Q: A van is 5km due north of a bus at 2:00PM. If the van is traveling northward at the rate of 60 kph…

A:

Q: How far above the surface of the Earth would he have to go to "lose" 13 % of his body weight?…

A: Follow the procedure given below.

Q: A 45-caliber bullet shot straight up from thesurface of the moon would reach a height of s = 832t -…

A: Given, A 45-caliber bullet shot straight up from the surface of the moon would reach a height of…

Q: An object is thrown downward, with an initial speed of 16 ft/s, from the top of a building 320 ft…

A: v=initial speed= -16 ft/s [given]When the object hits the ground then it will cover 320 ft. So,…

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

Q: A 2.63-kg steel ball is dropped from a plane to an ocean. If the velocity of the ball just before…

A:

Q: A 5-kg bucket is lifted from the ground into the air by pulling in 20 m of rope at a constant speed…

A:

Q: two cars live in town and travel in opposite directions. one car travels at the rate of 45 kph and…

A: Given One car speed = 45 kphother car speed = 55kph

Q: A white wine at room temperature 70°F is chilled in ice (32°F). If it takes 15 min for the wine to…

A:

Q: The volume of water left in a reservoir as it empties is shown by the formula below, where V is the…

A:

Q: On the planet Gzyx, a ball dropped from a height of 20 ft hits the ground in 2 s. If a ball is…

A:

Q: Water is drained from a pool at a rate of R(t) = 50e-0.08t gallons per hour. If the drain is left…

A: 625 gal. water drains from the pool.

Q: A car braked with a constant deceleration of 16 ft/s2, producing skid marks measuring 50 ft before…

A:

Q: a firms revenue is given by $20 e0.46 t . how long will it take to grow to $165

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Q: If the diameter of a piece of candy was initially 26 mm and after 30 minutes it measured 5mm, what…

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Q: The value V of a Porsche 718 Cayman that is  t years old can be modeled by V(t) = 420,000(0.965)t…

A:

Q: ng the shore and 60 meters from the sh mps into the water and swims from the second and swim at a…

A:

Q: An equestrian slows a horse from a 8.95 m/s gallop  to a 5.98 m/s canter  while traveling a distance…

A: Given that the distance= 100.0 m Difference between speeds= (8.95 - 5.98)= 2.97 m/s

Q: A truck with a mass of 1500 kg is decelerated at a rate of 5m/s2 . How much force did this require?

A:

Q: A jogger jogs around a circular track with a diameter of 375 m in 16 minutes. What was the jogger's…

A: Given:  Diameter of circular track =375 m So, radius of the track

Q: A spring has a natural length of 10 cm. It takes 4 J to stretch the spring to 17 cm. How much work…

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Q: The drag force on a boat varies jointly as the wetted surface area and thesquare of the velocity of…

A:

Q: The diameter of a steel ball is measured to be 16 cm, with a maximum error of 0.3 cm. Estimate the…

A: The relation between the radius, r, and the diameter, l, can be defined by the equation: r=l2. It is…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.