2 A persn dives tm initial velocity f 24 Use St)1642+ V 6 pletermwith an So How lana wil it take the diver to hit t...
Please solve Q 7 & 8 7. 14+6 marks] Consider the initial value problem y_y2, 2,y(1) = 1 y'= 1-t (a) Assuming y(t) is bounded on [1, 2], Show that f(t,v)--satisfies Lipschitz condition with respect to y. (b) Use second order Taylor method with h 0.2 to approximate y(1.2), then use the Runge- Kutta method: to compute an approximation of y(1.4). 8. [4 marks) Assuming that a1, o2 are non negative constants, determine the parameters o and β1 of the...
Use the graph below for questions 12 15 Velocity versus Time 1 2 3 4 5 6 78 9 10 Time (s) 12, what is the average acceleration of the particle from t = 2 s to t-9 s? 13. What is the instantaneous acceleration at t 5s? G. If a projectile is launched with an initial velocity of 20 m/s from a height of 50 m in th Mehort ho ng dos it take the projectile to return to...
winkngs spring i(t) v(t) st VEE Figure 1: (a)Solenoid with retu spring. (b) Equivalent lumped electrical cireuit (e) Equivalent mechanical diagram Figure 1(a) illustrates a solenoid with a return spring The voltage e(t) across the winding, causes a current it) to flow through the winding. which in turn generates a magnetic field The magnetic field induces a force f(t) on the plunger mass, . The magnitude of this force is related to the current in the windings via the solenoid's...
7. The nearest star is 4.1 x 1016 m away. Suppose you had a spaceship that could accelerate from rest at 10 m/s? for half a year, then continues at constant speed. How long would it take to reach the nearest star? Use 1 year 365 days, 24 hours -1 day, 60 minutes 1 hour, 60 seconds 1 minute. も. 15768111 vA: at 2 1.24 16 15 구 68 oooo 8. A roofer on the ground throws a hammer to...
6-6 6-17 6-18 please help me, how could solve these problems In chemical kinetics and other types of rate processes, you frequently encounter with the initial condition m(0) == 2 6-4 B representing the interconversion of two species, A and B. The the scheme A rate equation for this interconversion can be written as dA/dt = -k\A + kąB, where k and kz are called rate constants. By conservation of mass, A(t)+B(t) = AoBo, where Aq = A(0) and Bọ...
how do i find H, and how do i use the equation on the 4 question to find Ei and Ef where m is the mass of the hanging mass, M is the mass of the Smart Cart, h is the height of the hanging mass above the floor, H is the height the Smart Cart (mass M) climbs up the track, and v the velocity of the Smart Cart in the instant when the hanging mass is about to...
Please, I need help answering questions 10, 11, 12, 13, 14, and 15. Use the other pages as information to solve the questions. Use the questions below to keep track of key concepts from this lesson's study activity. YOUR ASSIGNMENT: Splatapults Away! The engineering club has built a catapult and wants to test it out. The local supermarket has donated some overripe fruits and vegetables, and now the club is holding a Splatapult challenge to see who can hit the...
Solve exactly if possible. Express all decimals to 4 significant figures. 1) 2) 3) 4) 5) 6) 7) What are Newton's Laws of motion? What is a "frame of reference"? What is a coordinate system? Express the point x-3, y-4 using polar coordinates. What is the SI unit for force? How is it defined using SI base units? What are the four fundamental forces in the universe? What is the approximate gravitational acceleration, g, near the Earth's surface? If this...
Need help with 1: b, c, d, e and f. And 2. Thanks! PRE-LAB EXERCISES average size. If d is the diameter in millimeters, some pebbles will be bigger and some smaller than the desired average do. Suppose you have a rock crusher. The pebbles it makes have different sizes, but you can adjust the 1. (a) In the histogram below, about how many pebbles are shown to have diameter of greater 150 100 (b) In this distribution (same histogram,)...
. A typical commercial wind turbine costs approximately $2 million per MW of installed power and requires 5.76 TJ per million dollars of energy to manufacture the wind turbine. (a) Calculate the amount of energy that is consumed (i.e. energy invested) in the manufacture ofa 1.5 MW wind turbine, assuming that turbine manufacture requires 5.76 TJ per million dollars spent. (TJ Tera-joules 1012 joules) (b) If the wind turbine has blades that are 40 meters (radius) long and the average...