#1. [4 points] To find the value of gravitational acceleration (g), a student uses a simple pendulum for which the time period (T) is given by T = 2 where I is the length of the pendulum. The student measures the length as 48 cm with 1 mm accuracy and the time for 50 oscillations as 40 s with 1 s accuracy. Find the value of g with error limits. RR2 R+R when #2. [5 points] The equivalent resistance of two resistors R1 and R2 is given by Req = connected in parallel. If R = (100 5) and R = (47 3), find the percentage error in the calculation of their equivalent resistance when they are connected in parallel. #3. A particle moves in a straight line such that its displacement, x meters, from a fixed point O on the line at time t seconds is given by x (t) = (t 2)3-3t+8. (a) [2 points] Find the time when the particle is instantaneously at rest. (b) [1 point] Find the displacement of the particle from O when t=4 s. (c) [3 points] Find the total distance traveled during the first 4 seconds of its motion.