Mathematics Assignment Math Problem Example | Topics and Well Written Essays - 1000 words

Mathematics Assignment - Math Problem Example 1 m3 = 100 cm3 = 0.86 tonnes Then, divide both sides by 10 10 Cubic cms = 0.086 tonnes (b) What volume of soil weighs 3 kg 1 ton = 1000 kg Then, 0.86 tonnes = 860 kg = 1 m3 So, 1 m3 = 860 kg Multiply both sides by 3/860 3/860 m3 = (3*860) / 860 kg 0.0035 m3 = 3 kg 14. If 10 men take 3 days to complete a task (a) How long will it take 6 men to complete the task 10*3 = 6*x 30/6 = x = 5 (b) If the task is to be completed in two days how many men are required 10*3 = x*2 X = 30/2 = 15 15. Draw the graph of 5x + 2y 10 = 0 and determine the x and y intercepts When x=0, 5(0) + 2y = 10 Y= 10/2 = 5 (x,y) = (0,5) Similarly, when y=0. 5x + 2(0) = 10 X = 10/5 = 2 (x,y) = (2,0) 16. The distance travelled by a train and the corresponding times are given by Time, hrs 0 0.5 1.5 2.5 Distance, kms 0 38 114 190 Plot the graph of distance as a function of time and determine the equation of the line. Equation of the line, y = mx +c Where, c = y-intercept & m = slope of the line = here, as the graph shows c = 0, whereas, let us consider (0,0) and (0.5,38) to determine m. m = (38 - 0) / (0.5 - 0) = 76 So, the equation of the line is: y = 76x + 0 or y = 76x 17. A ball is thrown upward with an initial velocity 55 m/sec. The speed of the ball decreases uniformly with time and after 5 secs its velocity is 6 m/sec. (a) Determine the equation relating the velocity of the ball and time. Here, there are 2 coordinates given, i.e. (55,0) and (6,5) considering time is plotted on the y-axis. As per the graph in part b, c (y-intercept) = 5.6 and m = (5-0)/(6-55) = -5/49 Therefore, the equation will be, + 5.6 Or 49y +5x = 274.4 (b) Draw the graph of this equation. (c) Determine the time at which the... The negative velocity in this example would be a hypothetical state to achieve. The equation for such a case will be bound by constraints, ensuring no negative values can be put in for time and velocity.