Falling parachutist A woman bails out of an airplane an altitude of 10,000 ft, falls freely for 20 s, then opens parachute. How long will it take her to reach the grour Assume linear air resistance pv ft/s², taking p without the parachute and p = 1.5 with the parachu

Q: Flying a kite Once Kate’s kite reaches a height of 50 ft (aboveher hands), it rises no higher but…

A: First draw the figure of the given question. Let  Kate is flying a kite from A point and the height…

Q: An object's velocity after t seconds is v(t) = 36 – 2t feet per second. (a) How many seconds does it…

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Q: A bicyclist traveling at 12 ft/sec velocity (ft/sec) puts on the brakes to slow down at a constant…

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Q: An object's velocity after t seconds is v(t) = 38 – 2t feet per second. (a) How many seconds does it…

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Q: Assume linear depreciation. A manufacturer buys a new machine costing $110,000. It is estimated that…

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Q: A crane lifts a block from ground level at a constant speed. After 5s the block slips from its…

A: We know          V2-u2=2a 8where v - velocity            u - initial velocity            s -…

Q: a. A hose is used to fill up a 1,200 gallon water truck. Water flows from the hose at a constant…

A: Given data: The capacity of truck is Q=1200 gallon. After x1=10 min water in the truck is y1=65…

Q: opulation P(t) in a forest, where the time unit is per cic equation dP 1 P(2500 – P]. dt 2500 n by…

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Q: An object is fired vertically upwards. Its height, h metres, after t seconds is given by h = 8t -…

A: we are given the height of the object as a function of time t. h(t)=8t-t2

Q: An object's velocity after t seconds is v(t) = 40 – 2t feet per second. (a) How many seconds does it…

A: To find the distance traveled by the object over a certain amount of time, we need an equation for…

Q: A potato is launched vertically upward with an initial velocity of 100 ft/s from a potato gun at the…

A: Given:  s(t)    = -16t2+100t+90                   (Posistion of a potato in t seconds, ft)…

Q: 6. A diver is standing on a platform 24 ft above the pool. He jumps from the platform with an…

A: We have, h = - 16t^2 + vt + s; whereh = height after t secondst = time in secondsv = upward…

Q: A baseball thrown directly upward at 160 ft/sec has velocity v(t) = 160 – 32t ft/sec at time t…

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Q: A model rocket is launched with an initial upward velocity of 215 ft/s. The rocket's height h (in…

A: Given,  The height h in feet of the rocket is given by  h = 215t-16t2 ;   where t is in seconds  We…

Q: Maria throws two stones from the top edge of a building with a speed of 2.5 x 10' m/s. The height of…

A: Given:       Speed of stones =2.5×10 m/s                                     =25 m/s  the final…

Q: At time t = 0 seconds, a diver jumps from a platform diving board that is 32 feet above the water.…

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Q: An object moves along a line so that its velocity at time t is v(t)3t -30t+48 feet per second. Find…

A: Total distance travelled is integration of absolute value of (3t^2-30t+48) from -1 to 10.

Q: population an be modeled by (spuesnou ui) P = 321e0.0275t where t = 0 corresponds to 1980.t (Round…

A: From the given equation: P=321e0.0275t....(1)   a). According to the given problem: t=0 for 1980 So,…

Q: A model rocket is launched with an initial velocity of 190 ft/s. The height, h, in feet, of the…

A: The height, h, in feet, of the rocket t seconds after the launch is given by

Q: ball is thrown straight upward from a bridge and then falls all the way to the ground (past the…

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Q: Airplane Ascent During takeoff, an airplane’sangle of ascent is 18° and its speed is 260 feet per…

A: Trigonometry: Airplane Ascent During takeoff, an airplane’s angle of ascent is 18° and its speed is…

Q: a) A tank contains 500 gallons of water Brine containing 2 lb of salt per gallon is pumped nto the…

A: Given: Concentration of salt,=2lb/gal Input of brine=5gal/min Output rate of brine=5gal/min To find…

Q: NASA launches a rocket at t 0 seconds. Its height, in meters above sea-level, in terms of time is…

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Q: An object is dropped from a tower, 151 ft above the ground. The object's height above groundt sec…

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Q: Solve the inequality, and express the solutions in terms of intervals whenever possible

A: The distance s above the ground after t seconds is given, s=-16t2+320t Need to evaluate the value of…

Q: 2. RATE OF HEALING. The area of a wound decrea The area A of a wound after t days can be modele A =…

A: Given:   A = 4 e-0.05t    t = 14

Q: A stone is thrown vertically upward from a platform that is 27 feet above ground at a rate of 80…

A: The height function of a stone which is vertically thrown upward from a platform that is h0=27 feet…

Q: A ball is thrown downward with a speed of 8 ft/s from the top of a 68 ft tall building. After t…

A: Given is the function of distance as  and the total height of building as 68 ft. It is required to…

Q: Height of a Baseball A baseball is dropped from a stadium seat that is 75 feet above the ground. Its…

A: Given equation is: st=75-16t2 We have to find the time when the baseball will strike the ground.

Q: salt in the tank at time t. A(t) - Ib

A: Given that  Capacity of the tank 400gal Rate of inflow 4 gal/min Rate of out flow 4gal /min To find…

Q: An object thrown vertically upward from the surface a celestial body at a velocity of 45 m/s reaches…

A: As per our guidelines I am solving only first three parts of the question. Please repost other…

Q: An object's velocity after t seconds is v(t) = 26 – 2t feet per second. (a) How many seconds does it…

A: The velocity function is given as v(t)=26-2t feet per second.

Q: pretap purl rowed 22 miles down in a river in 2 hours. but the return trip took him him 5 in a half…

A: x=rate pratap can row in still water and y= rate of the current.

Q: Distance and Time A woman cycles 8 mi/h faster than sheruns. Every morning she cycles 4 mi and runs…

A: A woman cycles 8 mi/h faster than she runs. Every morning she cycles 4 mi and runs 212 mi, for…

Q: The e population of a town w glowing at peopie per Year- a functron to Jescribe the popdation. now H…

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Q: A ball is thrown vertically upward from ground level at a rate of 112 feet per second.  Use the…

A: The given equation is h=-16t2+v0t+h0.

Q: A tourist being chased by an angry bear is running in a straight line toward his car at a speed of…

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Q: A woman bails out of an airplane at an altitude of 15,000 ft, falls freely for 17 s, then opens her…

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Q: A stone is thrown vertically upward from a platform that is 25 feet above ground at a rate of 60…

A: To Determine: a)The stone reaches its maximum height after_________ b) The maximum height the stone…

Q: A helicopter is rising straight up in the air. Its distance from the ground t seconds after takeoff…

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Q: C2. A dynamite blast blows a heavy rock straight up in the air with a launch velocity of 192…

A: Given data: The initial velocity is u=200 ft/s. The height of rock is s=192t-16t2.

Q: - A model rocket is launched with an initial upward velocity of 50 ft/s. The rocket’s h=50t – 5t² |…

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Q: fan aircraft is to attain a take-off velocity of 65 m/s after travelling 180 m along the flight deck…

A: Velocity Vf = 65 msDistance xf = 180 m Initial velocity Vi = 0 m/s, Initial distance xi = 0 m

Q: Flying a kite Once Kate’s kite reaches a height of 50 ft (above her hands), it rises no higher but…

A: Given: Flying a Kite once Kate's kite reaches a height of 50 ft it rises no higher but drifts due…

Q: Town A is 11 km from Town B. A man walks from A to B at the rate of 3 kph, and another man, starting…

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Q: Drake jumps from the highest diving board at the American Exhibition wave pool. His height over the…

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Q: The weight First three months a newborn infant dluring its life Cin pounds of modeled by + +3+…

A: Given: w=13t3+52t2-196t+8.