A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds. (Round your answer to three decimal places.) x m t (s) v (m/s) t (5) v (m/s) 0 3.0 10.53 0.5 4.61 3.5 10.69 1.0 7.38 4.0 10.78 1.5 8.86 4.5 10.83 2.0 9.73 5.0 10.83 2.5 10.28 Need Help? Read It Master ItThe figure below shows a pendulum with length L that makes a maximum angle @ with the vertical. Using Newton's second law, it can be shown that the period 7 (the time for one complete swing) is given by dx V 1 - k 2 sin ? ( x ) ' where k = sin( - 6 ) and g is the acceleration due to gravity. If L = 5 m and 6 = 460, use Simpson's rule with n = 10 to find the period (in s). (Use g = 9.8 m/s. Round your answer to five decimal places.) X s