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๐‘ =๐‘ข๐‘ก+12๐‘Ž๐‘ก2 ๐‘’๐‘ž(1) The tasks are to:

a) Plot a graph of distance (s) vs time (t) for the first 10s of motion if ๐‘ข=10๐‘š๐‘ โˆ’1 and ๐‘Ž=5๐‘š๐‘ โˆ’2.

b) Find the gradient of the graph at ๐‘ก=2๐‘  and ๐‘ก=6๐‘ .

c) Differentiate the equation to find the functions for i) Velocity (๐‘ฃ=๐‘‘๐‘ ๐‘‘๐‘ก) ii) Acceleration (๐‘Ž=๐‘‘๐‘ฃ๐‘‘๐‘ก=๐‘‘2๐‘ ๐‘‘๐‘ก2)


A tank initially contains 50 gal of fresh water. At t = 0, brine solution containing 2 lb of salt per gallon is poured into the tank at the rate of 12 gal/min, while the well stirred mixture leaves the tank at the rate of 8 gal/min. What is the amount of the salt at the end of minutes? How long it will take to obtain an amount of 50 lb?


An object has a mass of 2 kg is dropped from the top of building 30 meters tall. The initial velocity is zero. As it falls, the object encounters air resistance that is equal to 1/3 v. What is the velocity and altitude of the object after 1.5 seconds?


Design a Menu class having menuList as an attribute which is a static ArrayList. Load the menuList with Dish object comprising some sample dishes using static block


In how many ways a relation can be represented? State two different


examples to represent each of them.



If the density of states function in the conduction band of a particular semiconductor is a constant equal to K, derive the expression for the thermal-equilibrium concentration of electrons in the conduction band, assuming Fermi-Dirac statistics and assuming the Boltzmann approximation is valid. Also drive equation if the density of states function is given by g.(E) =C1, (E-Ec) for E> Ec. where C1 is a constant.


For the Boltzmann approximation to be valid for a semiconductor, the Fermi level must be at least 3kT below the donor level in an n-type material and at least 3kT above the acceptor level in a p-type material. If T = 300 K, determine the maximum electron concentration in an n-type semiconductor and the maximum hole concentration in a p-type semiconductor for the Boltzmann approximation to be valid in (a) silicon and (b) gallium arsenide.

The steady state error due to ramp input for a type two system is equal to

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Find latitude and longitude ofย first 20 countriesย with a population greater than or equal to the population limit given below. Use the country details fromย this dataset.

Your task is to find the sum of the length of all lines (in kms) that can be drawn between co-ordinates of these countries.

  • Assume radius of earth:ย 6371 km
  • Round length of each line and final result toย 2 decimal points
  • If co-ordinates are missing for any country use 0.000 N 0.000 E

Population limit:ย 57100

Note: Population limit will change at random intervals. So please make sure answer is computed for the correct population limit before submitting.

Find latitude and longitude ofย first 20 countriesย with a population greater than or equal to the population limit given below. Use the country details fromย this dataset.

Your task is to find the sum of the length of all lines (in kms) that can be drawn between co-ordinates of these countries.

  • Assume radius of earth:ย 6371 km
  • Round length of each line and final result toย 2 decimal points
  • If co-ordinates are missing for any country use 0.000 N 0.000 E

limit is2302


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