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1.The quarterback Q throws the football when the receiver R is 30 yards away. The receiver's velocity is constant at 10 yd/sec, and he catches passes when the ball is 6 ft. above the ground. If the quarterback desires the receiver to catch the ball 2.5 sec. after the launch instant shown, determine the initial speed v0 and angle, theta required
2.A fireworks shell is launched vertically from point A with speed sufficient to reach a maximum altitude of 500ft. A steady horizontal wind causes a constant horizontal acceleration of 0.5ft/sec^2, but does not affect the vertical motion. Determine the deviation at the top of the trajectory caused by the wind.
Estimate the factor of safety of the slope against sliding. Use the table on page 2 as a design guide.
A syringe is pointed vertically up in the air and a force of 5 lbs is applied to the plunger with a diameter of 0.5 inches. Assuming no losses in the system how high will the stream of water rise above the syringe
determine the horizontal spacing of the vertical drains if the drains are installed in triangular grid to reach 90% of primary consolidation in 1.5 years after the commencement of fill placement
Consider again the scenario above. Assume the water is static. Assume a datum at the water surface. a) What is the total head 5.0m below the river bed b) What is the pore water pressure at that level
Calculate the IEEE double precision floating number immediately greater than the minimum number in double precision in both binary and decimal form
A new machine will cost $25,000. The machine is expected to last 4 years and have no salvage value. If the interest rate is 12%, determine the return and the risk associated with the purchase.
In the construction management, there is a lot of procurement route that are necessary and suitable for the construction industry.
An emission control system for a new car costs $750 and reduces NOx emissions from 0.4 g/mile to 0.18 g/mile. Assume the car is driven 10000 miles per year, and the life of the emissions control system is 11 years with zero scrap value.
The pipe contains two 6 in steel elbows, two fully open gate valves, a fully open 90o angle valve, and a swing check valve. If the discharge end of the pipe is located 20 ft higher than the entrance, what is the pressure difference between the two..
After the Christmas break one student returns carrying a flu virus. Assume that the rate at which the virus spreads is proportional to the number of infected students P(t), but also to the number 5000P(t) of students not yet infected.
An investor is considering buying a 20-year corporate bond. The bond has a face value of $1000 and pay 6% interest per year in two semiannual payments. To receive 8% interest, compounded semiannually, how much should be paid for the bond
The only losses of total phosphorus for the lake are settling and fluching throught the lake's outlet. Assume the outflow rate is 212 km^2/year and the sediment area is 10,500 km^2.
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