The equation for free fall at the surface of some planet (s in meters, t in seconds) is s = 4.7112. How long does it take a rock falling from rest to reach a velocity of 26.2 m/s on this planet?

Q: A5 feet 6 inches tall man is walking away from a lamppost at a rate of 2 ft/sec. If the lamppost is…

A: We have, A 5 feet 6 inches (5.5 feet) tall man is walking away from the lamppost of height 12 feet…

Q: On Earth, you can easily shoot a paperclip 64 ft straight up into the air with a rubber band. In t…

A: For maximum height ds/dt=0 Answer(a): On the earth it will take 2 seconds to reach the maximum…

Q: If an arrow is shot upward on the moon with a velocity of 58 ms, its height (in meters) after t…

A: When the arrow hits the moon then the height is 0. So, H=0 We will find t for H=0

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: 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: A bomb is dropped from a helicopter hovering at an altitude of 1076 feet above the ground. From the…

A: From the given information, the value of x=500 and x0=1076 and the value of g=32fts2. Substitute…

Q: If a ball is thrown into the air with a velocity of 40 ft/s, its height (in feet) after tseconds is…

A: Since the ball hits the ground therefore y=0.

Q: If a ball is thrown into the air with velocity of 60 ft/s, its height y in feet t seconds later is…

A: The average velocity  = the total distance traveled   devided by   the time spent traveling

Q: Suppose that the concentration of a bacteria sample is 60,000 bacteria per miliditer. f the…

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Q: The acceleration due to gravity, in feet per second per second (ft/s), on Jupiter is 7 ft/s less…

A: We will use linear equation method to find solution to the problem.

Q: The quantity of water discharged over a rectangular weir is directly proportional  to the crest…

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Q: stone is thrown vertically into the air at an initial velocity of 97 ft/s. On a different planet,…

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Q: A population of bacteria is growing according to the equation P(t) = 750e population will exceed…

A: Equation for bacteria growth is given by- Pt=750e0.04t We have to find out when the population of…

Q: 3

A:

Q: A 6-foot-tall woman walks at 7 ft/s toward a street light that is 30 ft above the ground. What is…

A: Let L be the length of the woman's shadow  x be woman's distance from the street light dLdt=rate of…

Q: Explain why the equation e-x =x has atleast one solution.

A: Given, e-x=x

Q: A population of bacteria is growing according to the equation P(t) = 650e".22. Estimate when the…

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

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Q: An object is dropped from a 64-foot tower and reaches the ground in 2 seconds. What would the…

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Q: The half-life of the drug Morphine in the blood is 120 minutes. If 75 mL are given to a patient at…

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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 population of bacteria is growing according to the equation P(t) = 1550e0.11t , where t is the…

A: The time dependence of the population is given by: P(t) = 1,550e0.11t  We have to find t when P(t)…

Q: A cyclist completes a journey of 500m in 22 seconds, part of the way at 10m/s and the remainder at…

A:

Q: HELP ME BEFORE 11:59pm

A: Given, function is

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: A particle moves along a straight line with a velocity v(t) = t²e²t meters per second after t…

A: A particle moves along a straight line with a velocity v(t)=t2e2t meters per second after t seconds.

Q: If a ball is thrown straight up with a velocity of 32 ft./sec., its high after t sec. is given by…

A: Given,  The height of the ball after t sec is given by the equation  s = 32t -16t2  We have to find…

Q: The population, P, of prairie dogs increases according to the equation P=2,250e^rt, where t is the…

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Q: In the general equation y = acos 0, the amount of vertical stretch or compression is determined by a…

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Q: Jessi launched a toy rocket vertically upward having an initial velocity of 100 feet per second then…

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Q: Medical research has found that between heartbeats the pressure in the aorta of a normal adult is a…

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Q: The height (in feet) at any time t (in seconds) of a projectile thrown vertically is h(t) =-16t2 +…

A: We have to find the velocity when the object hits the ground. The given height function is…

Q: The half-life of erbium-160 is 1.191 days. If a sample has a mass of 500 mg, find the mass (in mg)…

A: Given half life  t12=1.191 days and initial mass  A0=500 mg

Q: What is the velocity (in ft/s) of a sandbag 3.0 s after it is released from a hot-air balloon that…

A: According to Questions  Initial velocity (u)=0 ft/s  time=t=3s

Q: 4 The height, h, of an ball that is thrown st upward from an initial position 3 feet off ground with…

A: It is given that, the height h of a ball that is thrown straight upward from an initial position 3…

Q: After a ball bounces off from the top of a hill, its velocity at t seconds is v(t)=45-30t feet per…

A: Given velocityv(t) = 45 - 30t

Q: The rate of fingernail growth depends on many factors, but in adults, nails grow at an average rate…

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Q: The height above the ground of a bullet fired straight upward is h(t) = 1700t - 16t2 feet, where t…

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Q: Find the distance traveled in 15 seconds by an object traveling at a constant velocity of 20 feet…

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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: From a point 56 feet above the ground, a stone is thrown vertically downward and hits the ground at…

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Q: Ben starts walking along a path at 4 mi/h. One and a half hours after Ben leaves, his sister Amanda…

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Q: The population of a bacteria colony triples every hour. If the initial population is 100 write an…

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Q: A population of bacteria is growing according to the equation P(t) = 1400e , Estimate when the…

A: Given: A population of bacteria is growing according to the equation P(t)=1400e0.09t. The value of…

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: If the speed of light is y-3.00 x 10 m/s and light travels in a vacuum at a distance s= 1 ft. How…

A: As per the company rule, we are not supposed to do more than one problem. Therefore Kindly repost…

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…