Ascent rate of a scuba diver Divers who ascend too quickly in the water risk decompression illness. A common recommendation for a maximum rate of ascent is 30 feet/minute with a 5-minute safety stop 15 feet below the surface of the water. Suppose that a diver ascends to the surface in 8 minutes according to the velocity function
- a. Graph the velocity function v.
- b. Compute the area under the velocity curve.
- c. Interpret the physical meaning of the area under the velocity curve.
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
CODE/CALC ET 3-HOLE
Additional Engineering Textbook Solutions
Glencoe Math Accelerated, Student Edition
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus & Its Applications (14th Edition)
- Example 7: Rocket sleds were used to test aircraft and its effects on human subjects at high speeds. It is consisted of four rockets; each rocket creates an identical thrust T. Calculate the magnitude of force exerted by each rocket (T) for the four-rocket propulsion system shown in the Figure. The sled's initial acceleration is 49 m/s, the mass of the system is 2100 kg, and the force of friction opposing the motion is known to be 650 N. Solution: H.W Free-body diagramarrow_forwardA simple pendulum of length L, has a maximum angular displacement e_max. At one point in its motion, its kinetic energy is K = 3 J and its potential energy is U = 4.2 J. When the pendulum's angular velocity is one-fourth its maximum value (0' = %3D O'_max/4), then its kinetic energy is:arrow_forward(Thermodynamics) The work, W, performed by a single piston in an engine can be determined by this formula: W=Fd F is the force provided by the piston in Newtons. d is the distance the piston moves in meters. a. Determine the units of W by calculating the units resulting from the right side of the formula. Check that your answer corresponds to the units for work listed in Table 1.1. b. Determine the work performed by a piston that provides a force of 1000 N over a distance of 15 centimeters.arrow_forward
- Computer Science An IT company has branches in 10 cities. In each of the cities, it employs 5 employees. The company carries out 10 different projects and employs 5 employees in each of the projects (not necessarily from the same city). Each employee works in exactly one of the projects. Show that one can choose a group of 10 employees so that there is one employee from each city and one employee from each project in this group.arrow_forward13.sol Matlab The electrical circuit shown consists of resistors and voltage sources. Determine the current in each resistor, using the mesh current method that is based on Kirchhoff's second voltage law. V =38 V, V = 20V, V, = 24V R, =15Ω R, = 182 R, = 10Ω R, =9Ω R, = 5Ω R, = 14Ω R, = 82 R, = 132arrow_forwardThe liquid-liquid extraction process carried out at the Electrochemical Materials Laboratory involves the extraction of nickel (Ni) from the liquid phase into an organic phase. Data from laboratory experiments are given in the table below. Ni phase cair, a (gr/l) 2 2,5 3 Ni phase organik, g (gr/l) 8,57 10 12 Assume that a is the amount of Ni in the liquid phase, and g is the amount of Ni in the organic phase. Quadratic interpolation is used to estimate the value of g, which is given by the following formula: g = x1a? + x2a + x3 a. Find three simultaneous equations based on the data given by the experimental results. b. Use the Gauss Elimination method to get the values of x1, x2 and x3 and then estimate the amount of Ni in the organic phase, if 2.3 g/l of Ni is available in the liquid phase. c. Use the LU Decomposition method to get the values of x1, x2 and x3. and then estimate the amount of Ni in the organic phase, if 2.3 g/l of Ni is available in the liquid phase.arrow_forward
- Two small charged objects attract each other with a force F when separated by a distance d.If the charge on each object is reduced to one-fourth of its original value and the distance between them is reduced to d/2,the force becomes?arrow_forwardDetermine the drag coefficient c needed for a parachutist of mass m=68.1kg to have a velocity of 40m/s after free-falling for time t=10s. Note: The acceleration due to gravity is 9.8m/s2. Use the Regula Falsi methodarrow_forwardComputer Science Numerical methods can be useful in solving different problems. Using numerical differentiation, how many acceleration data points can be determined if given 43 position data points of a moving object given by (x,t) where x is x-coordinate and t is time?arrow_forward
- 2. The flight of a model rocket can be modeled as follows. During the first 0.15 s the rocket is propelled upward by the rocket engine with a force of 16 N. The rocket then flies up while slowing down under the force of gravity. After it reaches the apex, the rocket starts to fall back down. When its downward velocity reaches 20 m/s, a parachute opens (assumed to open instantly), and the rocket continues to drop at a constant speed of 20 m/s until it hits the ground. Write a program that calculates and plots the speed and altitude of the rocket as a function of time during the flight.arrow_forwardMixture Problems My Sol A 1500 gallon tank initially contains 600 gallons of water with 5 lbs of salt dissolved in it. Water enters the tank at a rate of 9 gal/hr and the water entering the tank has a salt concentration of (1 + cos(t)) lbs/gal. If a well mixed solution leaves the tank at a rate of 6 gal/hr, how much salt is in the tank when it overflows? Solve the equation via MATLAB making sure that you passed though the following: 1. Initialization of variables 2. Setting up the Volume Equation 3. Settimg Up the differential equation 4. Listing down initial Conditions 5. Plugging in Conditions. 6. Finding the resulting model 7. Finding the concentration when the tank overflows 8. Graph the solutionsarrow_forwardA robot system has a protective barrier enclosing the work cell area. The total time for the system to cometo a full halt after power is removed is 4 seconds, and an additional distance of 1.2 meter is required because of the height of the guard gate would allow operators to reach over it.Determine the minimum distance from the guard gate to the closed part of the robot work envelope, in meters NOTE: 1 meter = 1,000 millimetersarrow_forward
- Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks ColeC++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr