Mathematics Assignment - Math Problem Example

1 m3 = 100 cm3 = 0.86 tonnesThen, divide both sides by 1010 Cubic cms = 0.086 tonnes(b) What volume of soil weighs 3 kg1 ton = 1000 kgThen,0.86 tonnes = 860 kg = 1 m3So,1 m3 = 860 kgMultiply both sides by 3/8603/860 m3 = (3*860) / 860 kg0.0035 m3 = 3 kg14. 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*x30/6 = x = 5(b) If the task is to be completed in two days how many men are required10*3 = x*2X = 30/2 = 1515. Draw the graph of 5x + 2y 10 = 0 and determine the x and y interceptsWhen x=0,5(0) + 2y = 10Y= 10/2 = 5(x,y) = (0,5)Similarly, when y=0. 5x + 2(0) = 10X = 10/5 = 2(x,y) = (2,0)16.

The distance travelled by a train and the corresponding times are given byTime, hrs 0 0.5 1.5 2.5Distance, kms 0 38 114 190Plot the graph of distance as a function of time and determine the equation of the line.Equation of the line,y = mx +cWhere, 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) = 76So, the equation of the line is:y = 76x + 0or y = 76x17. 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) = -5/49Therefore, 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.