The equation of motion of a particle is s = t³ - 27t, where s is measured in meters and t is in seconds. (Assume t≥ 0.) (a) Find the velocity and acceleration as functions of t. v(t) = a(t) = 31² - 27 6t (b) Find the acceleration, in m/s², after 5 seconds. 30 m/s² (c) Find the acceleration, in m/s2, when the velocity is 0. m/s²

If a rock is thrown upward on the planet Mars with a velocity of 12 m/s, its height (in meters) after t seconds is given by H = 12t - 1.862. (a) Find the velocity of the rock after one second. m/s (b) Find the velocity of the rock when t = a. m/s (c) When will the rock hit the surface? (Round your answer to one decimal place.) t = (d) With what velocity will the rock hit the surface? m/s Submit Answer View Previous Question Question 4 of 27 View Next Question Home My Assignments + Request Extension Copyright© 1998 - 2021 Cengage Learning, Inc. All Rights Reserved TERMS OF USE PRIVACY