The equation of motion of a particle is s (t) = 2t3-5t2 + 3t + 4, where s is measured in centimeters and t in seconds. Determine the acceleration as a function of time. What is the acceleration after 2 seconds?
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The equation of motion of a particle is s (t) = 2t3-5t2 + 3t + 4, where s is measured in centimeters and t in seconds. Determine the acceleration as a function of time. What is the acceleration after 2 seconds?
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- During a manufacturing process, a component moves in a linear pathsuch that its displacement “s” in mm is described as a function of time “t” inseconds by the equation: s = 3t3- t2 + 5t + 2 (mm) If a time of 1.5 seconds has elapsed in the process, determine :(i) the velocity of the component;(ii) the acceleration of the component.1. The wheel starts rotating from rest, 5) if its angular velocity W as a function of angular position is w=0.2-0², where 0 is in radian, and its radius ris 0.3 m, what is the magnitude of the total linear acceleration (in m/s2) of point P after the wheel has turned 1.4 revolution(s) from rest. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Your Answer: Answer P1. The wheel starts rotating from rest, 4) if its angular velocity W as a function of angular position 0 is w=0.1-0², where O is in radian, and its radius ris 0.2 m, what is the magnitude of the normal linear acceleration (in m/s2) of point Pafter the wheel has turned 1.1 revolution(s) from rest. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Your Answer: Answer
- The velocity of a particle is given by v = 27t² - 80t - 253, where v is in feet per second and this in seconds. Plot the velocity v and acceleration a versus time for the first 4 seconds of motion. After you have the plots, answer the questions as a check on your work. -1 Questions: + 0 + 1 When t = 0.7 sec, V = When t = 3.1 sec, V= ++ 2 i i 3 s, ft or m When the acceleration is zero, the velocity is i ft/sec, ft/sec, a = a = i i ft/sec. ft/sec² ft/sec²Two objects moving along x-axis are starting at the same time. Their positions are measured in centimeters at time t in seconds. If the equation of motion of objects 1 and 2 are and respectively, determine the distance between the objects at the instant when they have the same velocity. 2 cm 4 cm 3 cm 1 cmThe displacement of a particle is given by s = 2t³-42t² + 117t-49 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 18 seconds of motion. After you have made the plots, answer the questions. Questions: Att = 4.9 sec, S= Att = 9.4 sec, S= Att = 14.2 sec, S= i The velocity is zero when t = i fty = fty = i fty = i sec and when t = i ft/seca = ft/seca = ft/seca = i i sec ft/se ft/se ft/se
- The displacement of a particle is given by s = 4t³-55t² + 115t-35 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 12 seconds of motion. After you have made the plots, answer the questions. Questions: Att 1.7 sec, Att = 5.4 sec, Att = 8.5 sec, S= S= S= i i The velocity is zero when t = i fty= M ftv i fty = i sec and when t = i ft/seca = ft/seca i ft/seca = i sec ft/sec ft/sec ft/secThe displacement of a particle is given by s = 3t³ - 47t² +88t - 61 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 14 seconds of motion. After you have made the plots, answer the questions. Questions: At t = 3.3 sec, S = i At t = 7.2 sec, Att = 11.9 sec, S= i S= i The velocity is zero when t = i ft, v = ft, v = i i ft, v = i sec and when t = i ft/sec, a = ft/sec, a = i ft/sec, a = i sec ft/sec ft/sec ft/secWORKSHEET: A racing car starts at rest at point A and increases its speed around the track at a constant rate of 6 ft/sec², traveling counterclockwise. Determine the position and the time at which the car's acceleration magnitude reaches 20 ft/sec². y ↑ 200 ft Used with permission from "Engineering Mechanics: Dynamics." McGill/King, 4th Ed, 2003