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A hawk flying at 2 m/s at an altitude of 45 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation below until it hits the ground, where y is its height above the ground and x is its horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth of a meter.
y= 45-(x^2/45)
A 75g , 30cm--long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 12g ball of clay traveling horizontally at 2.5m/s hits and sticks to the very bottom tip of the rod.
Assuming a standard driver reaction time of 2.5 seconds, what is the probability that the vehicle pulling out will get in an accident with oncoming traffic?
a) Determine the total shortening of the pile in terms of F, L, A, and E; b) If F=96 kips, L=40 ft., A=100in2, and E=1.5 x 106 psi, how much does such a pile shorten?
A constant power of 1.5 hp is supplied to the motor while it operates with an efficiency of ε = 0.8. Determine the velocity of the 200-lb crate in 15 seconds, starting from rest. Neglect friction.
As a project manager on site where work for 3 km long tunnel has been undertaken the site is remote and takes about 2 days to travel to nearest town supervisors technicians and skiled workers in dangerous work.
A 4000-m 3 /day conventional activated sludge plant has an influent with a BOD5 of 190 mg/L and SS of 225 mg/L. What population would this plant serve?
The saturated unit weight of the clay is 20kN/m 3 and that of the sand 19 kN/m 3 ; above the water table the unit weight of the sand is 16.5 kN/m 3 . Calculate the effective vertical stresses at the top and bottom of the clay layer.
Develop a simple urban constructed wetland design.
Calculate average figures for tonnes/round and powder factors in kg/tonne and Determine the drill metres required to achieve a production rate from grade control blasting.
If the engine is mounted solidly on a rigid foundation, what is the alternating force amplitude transmitted? Assume the connection rod to be of infinite length.
Describe a dynamic programming algorithm to find an independent set of T such that the sum of numbers of nodes in the set is the largest among all possible independent sets of T.
What superelevation rate would you recommend for a roadway with a design speed of 100 km/hr and a radius of curvature of 500 m? Assume f = 0.11.
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