Chapter 12, Problem 7P

A particle moves along a path according to the equations      x = 9 - t4/9  and  y = t2/3 where x and y are in meters and t is in seconds. Determine the magnitude of the velocity (in m/s) of the particle in 1.97 seconds.

The particle travels along the path defined by the parabola y = 0.5x², where x and y are in ft. When t = 0, x = 0, y = 0. (Figure 1) Figure y -y = 0.5x² Part A If the component of velocity along the axis is v₂ = (2t) ft/s, where t is in seconds, determine the particle's distance from the origin O when t = 3 s. Express your answer using three significant figures and include the appropriate units. ► View Available Hint(s) d = 10.06 O Part B Submit Previous Answers X Incorrect; Try Again μA a = | ft Determine the magnitude of the particle's acceleration when t = 3 s. Express your answer using three significant figures and include the appropriate units. ► View Available Hint(s) μA Value P BR Units ? P Pearson ? Review

the position of a particle undergoing rectilinear motion is defined by s= t^3-6t^2-15t+40 where s is in ft and t is in seconds.  a. Determine the time when the velocity will be zero b. Determine the total distance traveled by the particle from t=3 seconds to t=7 seconds c. Calculate the acceleration of the particle at t=5 seconds