![Calculus: Early Transcendentals, 2nd Edition](https://www.bartleby.com/isbn_cover_images/9780321965165/9780321965165_largeCoverImage.gif)
Falling body When an object falling from rest encounters air resistance proportional to the square of its velocity, the distance it falls (in meters) after t seconds is given by
- a. A BASE jumper (m = 75 kg) leaps from a tall cliff and performs a ten-second delay (she free-falls for 10 s and then opens her chute). How far does she fall in 10 s? Assume k = 0.2.
- b. How long does it take her to fall the first 100 m? The second 100 m? What is her average velocity over each of these intervals?
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 6 Solutions
Calculus: Early Transcendentals, 2nd Edition
Additional Math Textbook Solutions
Precalculus
University Calculus: Early Transcendentals (4th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition
- (Heat transfer) The formula developed in Exercise 5 can be used to determine the cooling time, t, caused only by radiation, of each planet in the solar system. For convenience, this formula is repeated here (see Exercise 5 for a definition of each symbol): t=Nk2eAT3fin A=surfaceareaofasphere=4r2 N=numberofatoms=volumeofthespherevolumeofanatom Volume of a sphere sphere=43radius3 The volume of a single atom is approximately 11029m3 . Using this information and the current temperatures and radii listed in the following chart, determine the time it took each planet to cool to its current temperature, caused only by radiation.arrow_forwardQuadratic Root Solver For a general quadratic equation y = ax? + bx + c, the roots can be classified into three categories depending upon the value of the discriminant which is given by b2 - 4ac First, if the discriminant is equal to 0, there is only one real root. Then, if the discriminant is a positive value, there are two roots which are real and unequal. The roots can be computed as follows: -b+ Vb? – 4ac 2a Further, if the discriminant is a negative value, then there are two imaginary roots. In this case, the roots are given by b ь? - 4ас 2a 2a Programming tasks: A text file, coeff.txt has the following information: coeff.txt 3 4 4 4 1 4 Each line represents the values of a, b and c, for a quadratic equation. Write a program that read these coefficient values, calculate the roots of each quadratic equation, and display the results. Your program should perform the following tasks: • Check if the file is successfully opened before reading • Use loop to read the file from main…arrow_forwardExample 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_forward
- 3. The velocity of a particle which starts from rest is given by the following table. t see) 0 2 8 10 12 14 16 v (fusee) o 12| 16 26 40| 44 25 12 18 Evaluate using trapezium rule, the total distance travelled in 18 seconds.arrow_forwardInterest on a credit card’s unpaid balance is calculated using the average daily balance. Suppose that netBalance is the balance shown in the bill, payment is the payment made, d1 is the number of days in the billing cycle, and d2 is the number of days payment is made before billing cycle. Then, the average daily balance is: averageDailyBalance =netBalance x d1-payment x d2d1 If the interest rate per month is, say, 0.0152, then the interest on the unpaid balance is: Interest= averageDailyBalance * 0.0152 Write a program using c++ compiler that accepts as inputnetBalance, payment, d1,d2, and interest rate per month. The program outputs the interest. Format your output to two decimal places.arrow_forwardQ10: Using (ode45, ode23, or ode15s), solve the below dynamic electrical system differential equation. 1. The charge Q(t) on the capacitor in the electrical circuit shown satisfies the differential equation where d²Q dQ 1 +R- + √ √e dt2 dt L = 0.5 R = 6.0 C= 0.02 and V(t) is the applied voltage. V(t) = V(t), henrys is the coil's inductance ohms is the resistor's resistance farads is the capacitor's capacitance ellee (i) Is the circuit oscillatory? (ii) If V(t) = 24 sin(10r) volts and Q(0) = 0 = Q'(0), find Q(t). (iii) Sketch the transient solution, the steady state solution, and the full solution Q(t).arrow_forward
- The 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_forwardThe fuel economy of a car is the distance which it can travel on one litre of fuel. The base fuel economy (i.e., its fuel economy when there is only one person - the driver - in the car) of a certain car is MM kilometres per litre. It was also observed that every extra passenger in the car decreases the fuel economy by 11 kilometre per litre. PP people want to take this car for a journey. They know that the car currently has VV litres of fuel in its tank. What is the maximum distance this car can travel under the given conditions, assuming that all PP people always stay in the car and no refuelling can be done? Note that among the PP people is also a driver, i.e., there are exactly PP people in the car. Solve in any programming languagearrow_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_forward
- 7. The roots of the quadratic equation ax² + bx + c = 0, a 0 are given by the following formula: -b = √b² - 4ac 2a In this formula, the term b² - 4ac is called the discriminant. If b²-4ac0, then the equation has a single (repeated) root. If 200arrow_forward5. Determine the overall resistance of a 100-meter length of 14 AWA (0.163 cm diameter) wire made of the following materials. a. copper (resistivity = 1.67x10* Q•m) b. silver (resistivity = 1.59x10 Q•m) c. aluminum (resistivity = 2.65x10* Q•m) d. iron (resistivity = 9.71x10* Q•m)arrow_forwardA simple pendulum is formed of a rope of length L = 2.2 m and a bob of mass m. %3D When the pendulum makes an angle e 10° with the vertical, the speed of the %3D bob is 2 m/s. The angular speed, e', at the lowest position is equal to: (g = 10 m/s^2)arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr
![Text book image](https://www.bartleby.com/isbn_cover_images/9781133187844/9781133187844_smallCoverImage.gif)