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A driver traveling on a roadway decides to overtake a slow-moving truck traveling at 15 mph. The accelerating characteristic of the car is given by the following: dv/dt= 2.08-0.032v where v is the speed (ft/sec), and t is the time (sec).
(a) What is the acceleration of the car after 3, 7, 10, and 100 seconds?
(b) What is the maximum speed attainable by the car?
(c) How far will the car travel in 120 seconds?
The driver in problem 2 stops at an intersection with a two-way stop sign. Assume that the width of the intersection in 24 ft and the car is 20 ft long. If the driver's perception-reaction time is 0.75 seconds, determine if he can clear the intersection safely for the following conditions?
(a) When the through traffic is quite heavy and the average gap between vehicles is 5 seconds.
(b) If the average gap between vehicles increases to 10 seconds.
At the instant, the system is at rest and the spring is compressed by 50mm. Determine A) Velocity of block A when the spring is unstretched B) Maximum velocity of Block B C) Maximum deflection in the spring
What will the freeway's density and level of service be before and after the ban? (Assume that the trucks are removed and all other traffic attributes are unchanged)
Draw the shear diagram for the shaft. The bearings at and exert only vertical reactions on the shaft
The long-term average January precipitation in the Colorado River basin is 1.11 inches, with a standard deviation of 0.60 inches. Assuming a normal distribution, what is the probability that less than 0.5 inches of precipitation will occur in any ..
The motion of a particle is defined as x=t^2-8t+7 and y=0.5t^2+2t+4, where x and y are in meters and t is in seconds. Determine the magnitude of the smallest velocity reached by the particle, and the time, position, and direction of that velocity.
The coefficient of rolling resistance can be taken to be a constant for all speeds, equal to 0.008. If the cyclist is coasting down a 6% grade, what is the maximum speed attained
Design a riveted end plated Connection between a beam ISHB-300 and the flange of the Column ISHB-200 to transfer a vertical factored shear of 125 kN and a factored hogging bending moment of 125kNm.Use Shop rivets of 20mm dia.
A fluid flowing in a pipe 30cm in diameter has a uniform velocity of 4m/s. The pressure at the center of the pipe is 40KPa, and the elevation of the pipe's centerline above an assumed datum is 4.5m. Compute the total energy per unit weight of the ..
A soil has a total density of 1.80 Mg/m3. When fully dry, the soil has a density of 1.59 Mg/m3. The specific gravity of the solids is 2.57. Find the following soil parameters: a) Dry unit weight of the sample
If the time required to pay for parking is exponentially distributed with a mean of 15 seconds, find the average time in system.
In a liquid limit test, the moisture contents correspond to 20, 25 and 35 blows are 36% and 20%, 15% respectively. What is the liquid limit of the soil
A ballon is tethered at a height of 16.8 m above the ground by three cables. if the tension in highlighted cable is 60 N , determine the vertical force exerted by the balloon at the base of the balloon basket.
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