Civil and Environmental Engineering Answers

a = 12t²t³ + t, Determine velocity equation and position equation

The magnitude of the linear acceleration of a point moving along a vertical path is given by the equation a = 6t - 24, where a is in m/s and t is in seconds. The acceleration is upward when t = 5s; The point is 4m below the origin when t = 0 and 23 m above the origin when t = 3 s.Determine:

B.1. The velocity when t = 3 sec

B.2. The displacement during the time interval from t = 0 tot = 4 s

B.3. The total distance travelled during the time interval from t = 0 tot = 4s

x = 12t²t³ + t, Determine velocity equation and acceleration equation.

Radiocarbon Dating Analysis

Radiocarbon dating analysis is a technique used by archeologists and paleonto-

logists to determine the approximate age of an organic sample. It uses C-14/

C-12 ratios to determine the time that has elapsed since a living organism has

died.

a. What is the idea behind this technique? Explain this process. Use illustrations.

b. How is the C-14/C-12 ratio of samples measured?

c. Will radiocarbon dating analysis work for metallic artifacts? What are your

reasons behind your response?

d. Suppose a piece of cloth was found to contain a third of its original C-14/C12

ratio, what is the approximate age of the sample? State any assumptions you

made during calculation.

Harnessing the Power of the sun

a. Write the equation for the nuclear fusion reaction of deuterium to helium.

Explain this process. Use illusrations.

b. How much energy is released by the sun in a minute? Use Einstein’s equation

for special relativity.

c. Do you think the nuclear fusion reaction inside the sun’s core will cease at

some point? Explain your reasons for believing such a case.

d. How did astronomers determine the elemental composition of the sun?

e. Do you think this process could be replicated here on Earth?

1.)Can you think of other theoretical methods of producing gold from non-

precious metals like iron and copper?

A sliding gate 2m wide and 1.5m high lies in a vertical plane and has a co-efficient of friction of 0.2 between itself ahd guides. If the gate weighs one tonne, find the vertical force required to raise the gate if its upper edge is at a depth of 4m from free surface of water.

permeability equation derivation using Darcy law

What is the effect of varying the number of samples and the frequency as in the steps (7) and (8), respectively?

What is the effect of varying the number of samples and the frequency as in the steps (7) and (8), respectively?