(a) The position of a particle moving along a straight line is given by x = (t3 – 13.5t2 + 22.5t) m, where t is in secon

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A The Position Of A Particle Moving Along A Straight Line Is Given By X T3 13 5t2 22 5t M Where T Is In Secon 1 (49.77 KiB) Viewed 17 times

plz solve in 35 mins both parts i will thumb up
(a) The position of a particle moving along a straight line is given by x = (t3 – 13.5t2 + 22.5t) m, where t is in seconds. Determine the position of the particle when t = 5 s and the total distance it travels during the 5 second time interval. Hint: Plot the path to determine the total distance travelled. (14 marks) (b) The automobile in Figure lb is originally at rest when (arclength) s = 0. If its speed then increases according to ů = (0.06t) ms?, where t is in seconds, determine the magnitudes of its velocity and acceleration at s = 120 m. Hint: The automobile will be on the curved path so use normal and tangential components. (14 marks) 90 m 75 m Figure 1b