17. For the following data on speed and density, determine the parameters of the Greenshields' model. Also find the maximum flow and density corresponding to a speed of 30 km/hr. k V 171 5 129 15 20 40 225 70 25 272
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- Activity 5. Two cars start at the intersection of two roads which make an angle of 60° with each other. Car A accelerates at 0.9 m/s? and car B has an acceleration of 0.75 m/s?. Determine the relative displacement and the velocity of the two Cars 20 seconds after leaving the intersection. (Ans. relative displacement (s) of the two cars =167.03m) (Ans. relative velocity (v) of the two cars=16.70m) (Ans. relative acceleration (a) of the two cars=0.835m/sec?) 2 0.9 m/sec A/60 0.75 m/secA stream function is given by Ø-5x-6y. Calculate the velocity components and also magnitude and direction of resultant velocity at any point.Th speeds of 25 cars were observed. 10 cars were noted to travel at 38 kph, 8 cars at 39 kph, 2 cars at 56 kph, and 5 cars at 41 kph. Assume that each car was traveling at a at constant speed. a. Determine the time mean speed in kph. b. Determine the space mean speed in kph.
- 3) A vehicle is moving at 50 mph and suddenly sees an object. It applies the brakes and slows down to a speed of 15 mph. Calculate the following: a. Distance the vehicle would move before driver activates the brakes. (Use design PIEV time of 2.5 seconds) b. distance the vehicle moved after application of brakes to drop to 15 mph speed (assume constant Ideceleration rate of 11.2 ft/sec²)Problem 2 A project by some to monitor the traffc safety at a busy intersection. They measwre (with a precision stopwatch) that exactly three seconds after car B passes through the intersection traveling south at vg = 55 mph, minivan A passes through at va = 70 mph on the road that runs at an angle 0 = 60° east of north. The speed of each automobile is Civil Engineering students requires them constant. Determine (a) the relative velocity (in mph) of B with respect to A, draw the vector triangles as part of your answer (b) the change in position (in fi) of B with respect to A during a 10-s interval, (c) the distance (in ft) between the two automobiles 3 s after A has passed through the intersection.For a flow, the velocity components are given by u = (Axy² - x³y²) and v = (x²y³ - 3y³). What is the value of λ for the possible flow field which includes steady incompressible flow?
- 6. Using the follov a model for speed 'S 68-0.59D,' calculate and / or complete the following: ( ) a. Free flow speed (mph) b. Jam Density (veh / mi) c. Density at capacity (veh / mi) d. Speed at capacity (mph) e. Capacity (veh / hr)Activity 3 Questions SCORE? At the instant shown, cars A and B are traveling with speeds of 18 m/s and 12 m/s respectively. Also, at this instant, A has decrease in speed of 2 m/s2, and B has an increase of 3 m/s2. Determine the velocity and acceleration of B with respect to A. 2 m/s² 50 3 09 3m/s w 18 m/s p 100 m 1. 12 m/s B. .09 ACTIVITY 4 What I Know Chart (PART 2)A 15 ft long, 6 ft rectangular tank open to the atmospher is towed by a truck on a level road. The tank is filled with water to a depth of 5 ft. Determine the maximum acceleration or deceleration in ft/s^2 allowed if no water is to spill during towing.
- At time t = 0 a small ball is projected from point A with a velocity of 119 ft/sec at the angle 52°. Neglect atmospheric resistance and determine the two times t₁ and t2 when the velocity of the ball makes an angle of 27° with the horizontal x-axis. A u 119 ft/sec t₁ = 52° Answers: i t₂ = i 5.76 13.4 sec secl/04 Calculate the components of the hydrostatic force exerted by the water on a (1 m) width of the curved surface AB shown in the figure below. + p FREE SURFACE OF WATER 1.5 m3 O h* A 2 m Provide the value of Fx and Fy in N B.Two helicopters, H1 and H2, are traveling together. At the time t 0, they separate and follow different straight line paths given by H1: x = 6+ 40t y = -3+ 10t z = -3+2t H2: x 6+ 110t y = -3+ 4t z = -3+t Time t is measured in hours and all coordinates are measured in miles. Due to an error, H2 stops its flight at (446, 13, 1) and lands at (446, 13, 0). Two hours later, H is informed about H2 and moved toward H2 at 175 mph. How long will it takes Hi to reach H2?