1. IN A BOX THERE ARE 3 RED PENS, 5 BLUE PENS AND 2 BLACK PENS. IF A PERSON SELECTS A PEN AT RANDOM, FIND THE PROBABILITY THAT THE PEN IS a.A BLUE OR A RED PEN b.A RED OR A BLACK PEN 6. IF THE PROBABILITIES ARE RESPECTIVELY 0.09, 0.15, 0.21 AND 0.23 THAT A PERSON PURCHASING A NEW AUTOMOBILE WILL CHOOSE THE COLOR GREEN , WHITE, RED OR BLUE, WHAT IS THE PROBABILITY THAT A GIVEN BUYER WILL PURCHASE A NEW AUTOMOBILE THAT COMES IN ONE OF THESE COLORS?

A car is initially at rest on a straight road. The graph shows the speed of the car as a function of time. (s/w) A 12 11 10 9 8 7 5 4 3 2 1 B 1 0 2 A 7 t(s) What is the speed of the car at t=7 s? 3 4 5 6 8 9 Submit Answer Tries 0/12 10 11 12 13 Submit Answer Tries 0/12 How much distance did the car cover in the first 8 seconds? Determine the distance covered by the car between t=9 s and t=14 s? Submit Answer Tries 0/12 What is the average speed of the car between t=4 s and t=7 s? 14

A fluid in direct contact with a solid sticks to its surface and the velocity of fluid at the surface is zero. This condition is called no-slip condition. o True o False An object has a mass of 10 kg, what's the actual weight of this object on earth? o 32.17 N O 9.81 N o 98.1 N o 321.7 N Which of the following unity conversion ratio is NOT correct? N kg 'ms = 1 Pa N/m

Question 4 The macroscopic model developed by Drake et al. (1967) proposed the following equation to express the relationship between speed and density: ● v = vfe A traffic engineer calibrated the model using empirical data and the model parameters were estimated as follows: The free-flow speed (vf) = 110 km/h The density at capacity (km) = 30 veh/km Answer the following questions: 2 (二)ㄕ a) Develop an equation to express the flow (q) as a function of the speed (v). b) Using the equation developed in the previous question, plot the q-v relationship, with (v) on the horizontal axis and (q) on the vertical axis. (Show all critical values on your plots). c) Calculate the average headway and the average spacing corresponding to the capacity.