Question

READ THIS PROGRAM OVER SEVERAL TIMES VI: (10 pts) Flow chart the problem that follows. DO NOT WRITE THE CODE. Your grade will depend on how well you show that the flow chart represents the structure of this program and basic calculations and logical expressions are represented in the flow chart(show formulas used below in the chart) and proper flowchart symbols are used. In cosmology the behavior of space through time is given by a function called the scale factor = r(t). The variable, t, is related to time and has the range 0 to 2 radians interval 0.01. The Freedman model predicts three possible behaviors of the scale factor depending upon estimates of the amount of matter in the universe. The amount of matter depends on a factor known as E(psilon) being 0,+1 or -1. With E =0 then r(t) =Gt/2, With E= -1 then r(t) =G(coshh(t) -1), and with E = +1 then r(t) = G(1-cos(t)). G is related to Newton's gravitational constant and = 94000. The program will start by asking the user for the epsilon value only from which an output ofr and t will be produced from the appropriate formula for the range of t values. The program should terminate when the range of t is finished. HINT:. Reflected in the flow chart must be the WHILE loop and If-elseif else structures for full credit. SUGGESTION: USE PENCIL & LEAVE PLENTY OF ROOM and show the connecting lines with flow direction in the FLOW CHART chart.

Answer 1

Answer: Given that, 810) G (coshh(t)-1) For the value of E-1, in question, it's written (d) G(coshhlt) - 1). the actual symbol for showing Hyperbolic cosine is cosh not "coshh I have used the correct symbol in the flow chart Steps involved in flow chart: a start program 2 set values of constant variables G=94000 and to which will used further. 3 Get value of Ecosilons to from the user. u Based on the value of Elie whether E=0,+1,-1) initialize function & (t) as given in the question. 5 calculate the value of & as per the initialized value of act) with the given value of cinitially it will be zero) For example, && t=1.1, then 8=8(1.1) { put value of lil in the function act) and the output of it is the value of 's'} 6. Increment with o.ol. 7 Display values of randt. 18. If 't is less than or equal to Pi (3.14) [11 (3.14) go to step 5 else step 9 9. End of the program.

Flow CHART START set, G=940oo, to Input value of ECPsilon) NO Ezo? E==1? YES LYES Set. (D): Gloosh)- Set 8 ():(1-COSC)) set.lt):G+tq YES calculated using function 'X(t) with given value of 't Increment t. t 400 Display Bit ENDX