The position of a particle moving along the x axis depends on the time according to the equation x = ct4 - bt6, where x is in meters and t in seconds. Let c and b have numerical values 2.7 m/s4 and 1.4 m/s6, respectively. From t = 0.0 s to t = 1.7 s, (a) what is the displacement of the particle? Find its velocity at times (b) 1.0 s, (c) 2.0 s, (d) 3.0 s, and (e) 4.0 s. Find its acceleration at (f) 1.0 s, (g) 2.0 s, (h) 3.0 s, and (i) 4.0 s.

A particle starts from rest at x = -2.8 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and the displacement histories for the 4 seconds. Find the time t when the particle crosses the origin. After you have the plots, answer the questions. v, m/s IN 1 1 2 3 4.8 0 Questions Att = 0.39 s, X = At t = 1.33 s, X = At t = 2.51 s, X = IN i 4 -1.1 The particle will cross the origin when t = 3 m, m, 3 m, V = i V = V = i S. m/s, a = m/s, a = m/s, a = m/s² m/s² m/s²

Chapter 02, Problem 10 In reaching her destination, a backpacker walks with an average velocity of 1.26 m/s, due west. This average velocity results, because she hikes for 6.62 km with an average velocity of 2.54 m/s due west, turns around, and hikes with an average velocity of 0.381 m/s due east. How far east did she walk (in kilometers)? dw VE West East dɛ Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work

A particle moves so that its position (in meters) as a function of time (in seconds) is r = î + 5t2 j + 5t k. (Use the following as necessary: t.) (a) Write an expression for its velocity as a function of time. V = m/s (b) Write an expression for its acceleration as a function of time. a = m/s?