Question Solved1 Answer Cars A and B are racing each other along the same straight road in the following manner: Car A has a head start and is a distance DA beyond the starting line at t=0. The starting line is at x=0. Car A travels at a constant speed vA. Car B starts at the starting line but has a better engine than Car A, and thus Car B travels at a constant speed vB, which is greater than vA. How long after Car B started the race will Car B catch up with Car A? 

Problem 23: (Bead on a rotating circular hoop) Imagine a vertical circular hoop of radius R rotating about a vertical axis with constant angular velocity S2 as shown in Figure 1.11. A bead of mass m is threaded on the hoop, so that it can move without friction, but is confined to move on the hoop. (Define the angle to be the angle from the vertical line through the center of the hoop to the bead.) Find the Lagrangian and the equations of motion. Find the Hamiltonian H explicitly. Is H a constant of the motion? Is energy (T + V) constant?

help asap Check my war Two wooden members are joined by plywood splice plates that are fully glued on the contact surfaces Knowing that the clearance between the ends of the members is 6 mm and that the ultimate shearing stress in the glued joint is 2.5 MPa, determine the length L for which the factor of safety is 2.75 for the loading shown. Take P=15 kN. P The length mm

Sex Race Age 2 2 1 NNN 25 78 70 33 60 78 72 Region Ancestors astrosci educ 2 3 1 1 1 1 1 1 2 3 4 1 3 3 1 2 1 2 2 2 1 3 4 2 3 1 4 2 1 2 1 2 2 3 1 3 2 2 2 3 3 3 1 3 1 3 3 2 2 3 3 1 4 3 Income 16 34.57 15 78.65 17 56.73 18 23.46 13 54.53 13 44.23 16 66.54 16 67.85 25.67 27.87 17 55.61 16 26.54 18 76.54 16 33.46 16 23.47 NN 2 3 2 1 2 1 1 1 1 2 37 44 50 Sex= Sex of the Respondent 1=Male 2=Femal Age Age of the Respondent Race=Race of the Respondent 1= White 2=Black 3-Other Region= Region of Respondent 1= Mid West 2=Mid Atlantic 3= New England Ancestor=Do you believe that your deceased ancestors have supernatural powers? 1= Yes, Definiity; 2= Yes, Probably 3=No, Probably not; 4=no definitely not Astrosci= Is Astrology Scientific; 1=Very Scientific 2=Sort of Scientific 3= Not Scientific at all Educ=Highest Year of School completed Income=Income in 1000s of Dollars For the nominal variables race and region provide the mode and index of qualitative variation (IQV). Which variable has more variation? 2. For ordinal variables ancestor and astrosci provide the mode and median. Describe what each statistic tells you about the data. 3. For interval level variables age, education and income, provide the range, inter-quartile range, mean, median, variance, and standard deviation. Interpret each statistic. Answer the following questions: 4. Briefly explain the difference between measures of central tendency and measures of variability. Why do we need both? Can you think of a situation where central tendency might be misleading if you did not know the variability? 5. Why don't we use means for nominal level variables?

1) a) i) Define what is a vector space. ii) The 2-D Laplace equation: av av + - 0 ax? Əy? ay with appropriate boundary conditions, has a general solution of the type v(x, t) = G(x + iy) + H(x – iy) iii) Let F be a real field. Show that the general solution in part 1) a) ii) forms a vector space over F. (8 + 4 + 4 marks) = ii) The 2-D Laplace equation: a2v av + = 0 Əx2y2 with appropriate boundary conditions, has a general solution of the type v(x, t)=G(x + iy) + H(x – iy) iii) Let F be a real field. Show that the general solution in part 1) a) а ii) forms a vector space over F.

Fať 7 -6+ 62 – 4ac x = xo + vot+ v = vo + at , v2 = võ + 2aAx ,t= 2a Problem 1: A ball is thrown straight up from the ground. The ball reaches a maximum height of 5 m. For simplicity, for this problem, use g 10 m/sec. (a) Calculate the initial speed of the ball. Answer: 10 m/sec. (b) Calculate the time it takes the ball to reach the maximum height of 5 m. Answer: 1 sec. (c) Calculate the time it takes the ball to hit the ground. Answer: 2 sec. (d) Make a sketch of the position vs. time graph for this problem, y(t) vs. t. (e) Calculate the time(s) when the ball is at a height of 3 m above the ground. Answer: t = 0.37 sec and t = 1.63 sec. (f) Calculate the velocity of the ball when the ball is at a height of 3 m above the ground. Answer: v= : +6.3 m/sec for t = 0.37 sec and v -6.3 m/sec for t = 1.63 sec. =

Write a C program to recognize strings under 'a', 'a*b+', 'abb’ (without using switch)Thanks in advance:)