Question Solved1 Answer According to Car and Driver, an Alfa Romeo going 70 mph requires 177 feet to stop. Assuming that the stopping distance is proportional to the square of the velocity, find the stopping distance required by an Alfa Romeo going at 65 mph and at 95 mph. At 65 mph, stopping distance = At 95 mph, stopping distance = (include units) (include units)

Recall that the equation (x - x0)2 + (y - Yo)2 = r2. describes a circle with center (xo, Yo) and radius r. A circle equation is sometimes given in expanded format looking like x2 + ax + y2 + by + c = 0. In such cases. It is our job to determine the center and the radius using the method of completing the square. As an example, consider the circle equation *? – 8x + y 2 - 6y + 21 = 0 Completing the square, we get: x² - 8x= and of – 6y= (x- We can then rewrite the circle equation as 1)² + (x- It follows that the circle has center and radius

Determine whether the statement is true or false. If fand g are differentiable and f(x) 2 9(x) for a < x <b, then f '(x) 29'(x) for a <x<b. True False Submit Answer The speed of a runner increased steadily during the first tee seconds of a race. Her speed that second intervals given in the table. Find lower and upper estimates for the distance that she traveled during these three seconds (maller value) (larger value) 0 0.5 1.0 1.5 20 25 30 wh/167/92/15.5194 20 Annor

3. Problem 3, Taylor 7.41 p.288 A bead of mass m is sliding without friction on a wire that is bent in the shape of a parabola (see Figure 3, below) and is being spun with constant angular velocity w about its vertical axis 2 Figure 7.17 Taylor CLASSICAL MECHANICS OUniversity Science Books, all rights reserved Figure 3: Bead on a spinning parabolic wire Use 3. Problem 3, Taylor 7.41 p.288 A bead of mass m is sliding without friction on a wire that is bent in the shape of a parabola (see Figure 3, below) and is being spun with constant angular velocity w about its vertical axis 2 Figure 7.17 Taylor CLASSICAL MECHANICS OUniversity Science Books, all rights reserved Figure 3: Bead on a spinning parabolic wire Use cylindrical polar coordinates and let the equation of the parabola be kρ2 a) Write down the Lagrangian in terms of p as the generalized coordinate. b) Find the equation of motion of the bead and determine whether there are positions of equilibrium, that is values of ρ at which the bead can remain fixed without sliding up or down the spinning wire c) Discuss the stability of any equilibrium positions you find.

1. A project has been defined to contain the following list of activities along with their required times for completion. Activity No. Activity Time (Weeks) Immediate Predecessors 1 Collect requirements 2 2 Analyze processes 3 1 3 Analyze data 3 2 4 Design processes 7 2 5 Design data 6 2 6 Design screens 1 3,4 7 Design reports 5 4,5 8 Program 4 6,7 9 Test and document 8 7 10 Install 2 8.9 a. Draw a network diagram for the activities. b. Calculate the earliest expected completion time. c. Show the critical path. d. What would happen if activity 6 were revised to take 6 weeks instead of 1 week? 2. Construct a Gantt chart for the project defined in Problem 1.

Problem 4.11 Part A Use the node-voltage method to find v1 in the circuit(Figure 1) if v 130 V, i 2.2 A Express your answer with the appropriate units. 四? Value Units Submit Request Answer Part B Use the node-voltage method to find 2 in the circuit. Express your answer with the appropriate units. Figure 1 of 1 oz= Value Units Submit Request Answer 4Ω 80Ω Problem 4.11 Part A Use the node-voltage method to find v1 in the circuit(Figure 1) if v 130 V, i 2.2 A Express your answer with the appropriate units. 四? Value Units Submit Request Answer Part B Use the node-voltage method to find 2 in the circuit. Express your answer with the appropriate units. Figure 1 of 1 oz= Value Units Submit Request Answer 4Ω 80Ω Provide Feedback t) 102 5Ω

5. Evaluate the following integrals: a. Sg(+ b)8(t – t)dt -00 b. $(2t? + 8)8(2 – t)dt c. S. cos (2x – 1)]8(3x – 2)dx - Hint: 8(x) is located at x = 0. For example, 8(1-t) is located at 1 – t=0, that is, at t = 1, and so on.