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A particle travels along a straight line with a velocity v = (12-3t2) m/s, where t is in seconds. When t = 1 s, the particle is located 10 m to the left of the origin. Determine the acceleration when t = 4 s, the displacement from t = 0 to t = 10 s, and the distance the particle travels during this time period.
Starting from x = 0 with no initial velocity, the acceleration of a race car is defined by the relation a = 6.8e-0.00057x, where a and x are expressed in m/s2 and meters, respectively. Determine the position of the race car when v = 30 m/s.
A 10m height chimney has a 2.0m x 2.0m square cross section. The wind blows horizontally in a direction which is parallel to one of the diagonals of the cross section.
The pollutant has a reaction rate coeeficient k of 0.25/day. Assuming is pollutant is well mixed in the lake, find the steady-state concentration of pollutant in the lake.
A measurement was recorded as 171.278 m with a 30-m tape that was only 29.996 m under standard conditions. What is the corrected measurement?
a transmission tower is held my three guy wires attached to a pin at A and anchored by bolts b c and d if the tension in wire ab is 3.6 kn determine the vertical force p exerted by the tower on the pin at A
a) Calculate Darcy's velocity of the groundowater as well as the amount of water that passes through the aquifer each day. b) for the same aquifer, determine the seepage velocity of water through aquifer if the effective porosity is 32%.
a stream f gas flowing at 3000 cfm has a particulate loading of 50gr/ft what is the allowable exit loading if 95 % collection efficiency is required. what is the mass of the particles collected
The skateboard rider leaves the ramp at A with an initial Velocity Va at a 30 degree angle. If he strikes the ground at B, determine Va and the time of the flight. x=5.1m
The bolts have a mean diameter of 1.000 cm, normally distributed with standard deviation of 0.010 cm. The holes have a mean diameter of 1.030 cm, normally distributed with standard deviation of 0.015 cm.
Suppose that 0.03% of plastic containers manufactured by a certain process have small holes that render them unfit for use. Let X represent the number of containers in a random sample on 10000 that have this defect.
Consider a piston/cylinder arrangement that has a linear spring mounted such that as the piston rises to a certain point it will encounter the spring, which will offer a downward component of force as the piston rises further.
What is the maximum column load in kips that could be placed on a 4-ft square temporary footing on a sand for which the standard resistance is about N=15 and the water table is at the surface? A factor of safety of 2 is to be maintained against be..
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