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If V is the initial speed of the ball at angle of elevation a, if the origin of the coordinate system is chosen to coincide with the propulsion device, then the initial conditions (t = 0) may be assumed to be
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Use the Matlab ODE45 solver to obtain the numerical solution of the above differential equations, taking the data for V, a (convert to radians), m, d and c given on the data sheet, g = 9.81 ms-2, and p=1.255kg/m3. Plot the trajectory of the ball (y against x) and compare it with the corresponding trajectory when the drag is zero. Include a printout of the Matlab code you have used.
1. (i) How many digits does the number 101000 have when written to base 7 ? (ii) Use the prime number theorem to estimate the proportion of prime numbers among the positive inte
1. Joe and Sam each invested $20,000 in the stock market. Joe's investment increased in value by 5% per year for 10 years. Sam's investment decreased in value by 5% for 5 years and
discussion
model an equation to determine the amount of oil in a reservior
y"+3y''+2y=0
First systems were described as systems that had one method of storing energy. Second order systems; wait for it.... have two methods of storing energy. Using a similar mechanica
A company's full profit per unit production is given by the function y = -5x 2 +17x-12 where x is the number of items produced (in hundreds) and the y is the profit per unit (in
A high school counselor needs to specify whether the teenage pregnancy rate at her school is disimilar from the rate nationwide. She knows that the rate nationwide is 15 %. She ran
In estimating the cost of a pile of bricks measured as 2m*15m*1.2m,tape is stretched 1% beyond the standard length if the count is 450 bricks to 1m^3 and bricks cost $530 per 1000,
''A three phase cage induction motor running at full load draws a stator current of 60A at a power factor of 0.8 lagging from a 415v, 50hz supply. Under the following conditions th
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