The relationship between the length of a pendulum L and the time T for one complete oscillation can be determined from the data in the table to the right.   a. Find the least squares line equation and graph it simultaneously with the data​ points, with L as the horizontal axis and T as the vertical axis. Does it seem to fit the​ data? b. Find the correlation coefficient and interpret it. Does it confirm your answer to part a​? L​ (ft) T​ (sec)   1.0 1.13   1.5 1.36   2.0 1.57   2.5 1.76   3.0 1.92   3.5 2.08   4.0 2.22

A  cannon is turned towards the west and a cannonball is fired. This cannonball has a velocity of 252 kmph at an angle 60 degrees. The cannonball lands on a hillside 100 metres above its starting level. What is the range of the cannon ball?  Make a simple sketch. Make a list of all given values, units, and the variables they represent. write the general form of the equation you are going to use. Insert the known values and solve. State at the start of the problem which direction is positive by using an up or down arrow. Keep the velocity components and time to 2 decimal places.

Show your step by step solutions. 6. With a wooden ruler, you measure the length of a rectangular piece of sheet metal to be 16 mm. With micrometer calipers, you measure the width of the rectangle to be 5.98 mm. Consider 4 significant figures only. Determine: (a) the area of the rectangle; (b) the ratio of the rectangle's width to its length; (c) the perimeter of the rectangle;

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