Question

Problem: Consider a particle (shown in blue) traveling along ramp AB. The particle starts with initial velocity of 12 m's, at the start of time t- 0 seconds, at position A. The length of the ramp is 20 meters, from A to B. Let g 10 m/s The particle is traveling along the ramp while being hindered by the presence of linear drag, and this is described by the acceleration of the particle, which is given to be a (0.51g 0.01v), where v is the speed of the particle, and g is acceleration due to gravity. For each part, showing all steps clearly, and with a good sketch of the problem (as drawn below a) with a . (0.518-0.01)-fiv) # function of speed, determine the velocity of the particle as it passes position B. b) Once you find the velocity from part (a), determine time taken for the particle to travel from A to B, in the presence of linear drag. 0.51g, determine the c) Now, separately, if the acceleration of the particle is independent of linear drag, ie, a velocity of the particle as it passes position B on the ramp. Based on answer to part (c) of the problem, determine the time taken for the particle to travel from A to B, in the absence of drag. d) Note: Please know how to perform integration for linear drag, since this will be expected of you in the exam. -12 m/s a(s)-(0.5 lg-0.01v) me 20

Answer 1