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- The displacement of a particle is given by s = 3t3 - 42t2 + 109t - 39 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 11 seconds of motion. After you have made the plots, answer the questions. Questions: Att = 2.4 ft. v= ft/sec. a = ft/sec? sec, Att= 5.4 i ft, v= i ft/sec, a = i ft/sec? S= sec, Att = 8.5 ft. v= i ft/sec, a = i ft/sec? sec, The velocity is zero when t = i sec and when t = i secThe displacement of a particle is given by s = 4t³ - 60t² + 100t -58 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 13 seconds of motion. After you have made the plots, answer the questions. Questions: At t = 1.8 S= i fty = i ft/seca = i ft/ser sec, At t = 6.6 i S= fty = i ft/seca = i ft/se sec, Att = 9.8 sec, i fty = ft/seca = S = i ft/ser The velocity is zero when t = i sec and when t = secThe displacement of a particle is given by s = 2t3 - 32t2 + 89t - 32 where s is in feet and tis in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 13 seconds of motion. After you have made the plots, answer the questions. Questions: Att= 2.9 sec, ft, v= i ft/sec, a = i ft/sec2 At t = 6.3 sec, i ft. v= ft/sec, a = i ft/sec? At t = 11.6 i ft. v= ft/sec, a = i ft/sec2 sec, The velocity is zero when t = i sec and whent= i sec
- The velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t is in seconds. Plot the velocity v and acceleration a versus time for the first 6.4 seconds of motion and evaluate the velocity when a is zero. Make the plots and then answer the questions. Questions: When t = 0.8 s, V = i m/s, a = i m/s2 When t = 3.7 s, V = i m/s, a = i m/s? When t = 4.7 s, V = i m/s, a = i m/s? When a = 0, V = m/sThe displacement of a particle is given by s = 3t3 - 53t2 + 115t - 62 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 sec, s = ft, v = ft/sec, a = ft/sec2 At t = 7.7 sec, s = ft, v = ft/sec, a = ft/sec2 At t = 11.5 sec, s = ft, v = ft/sec, a = ft/sec2 The velocity is zero when t = sec and when t = secThe displacement of a particle is given by s = 2t³ - 42t² + 120t - 68 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 16 seconds of motion. After you have made the plots, answer the questions. Questions: At t = 3.3 sec, S= i ft, v = i ft/sec, a = i ft/sec At t = 8.9 sec, S = ft, v = i ft/sec, a = i ft/sec Att = 14.2 sec, S= i ft, v = i ft/sec, a = i ft/sec The velocity is zero when t = i i sec and when t = i sec
- The velocity of a particle moving along x-axis is defined by v=s3-4s2+6s where v is in m/s and s in meters. Compute the velocity when s=2m, compute the acceleration when s=2m.The displacement of a particle is given by s = 2t3 - 41t2 + 90t - 39 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 16 seconds of motion. After you have made the plots, answer the questions. Questions: Att = 2.6 sec, S = ft,v = ft/sec,a = i ft/sec Att = 7.5 sec, S = ft,v = ft/sec,a = i ft/sec Att = 13.5 S = i ft,v = i ft/sec,a = i ft/sec sec, The velocity is zero when t = i sec and whent= i secThe velocity of an object is given by, = u + at V ds dt. where, u is the initial velocity, a is the acceleration, and ₺ is the time in seconds. Solve the differential equation to obtain the displacement, s, given that at t = 0, s = 7 (metres) : 1 if u = 3 ms ¹, a = 2.4 ms 2, calculate the displacements at t = 4.9 seconds. Give your answer to 2 decimal places.
- The acceleration of a particle is given by a = 2t-20, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is so = -5 m, and the initial velocity is vo = 6 m/s. Once you have determined the functions of time, answer the questions. Questions: When t = 5.1 s, S= V = a = Mi MI i m m/s m/s²The displacement of a particle is given by s= 5t³ - 59t² + 87t-68 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 9 seconds of motion. After you have made the plots, answer the questions. Questions: Att = 0.9 S= i ft, v = ft/sec, a = ft/sec² sec, Att = 5 sec, S= ft, v= ft/sec² ft/sec, a = Att = 6.6 sec, i S= ft, v = ft/sec, a = ft/sec² The velocity is zero when t = i Mi i sec and when t = i i secThe displacement of a particle is given by s = 2t-36t² + 107t-53 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 16 seconds of motion. After you have made the plots, answer the questions. Questions: Att = 4.3 sec, Att = 7.4 sec, Att = 11.7 sec, S= i S= i S= i Velocity is zero when t = i vft, i vft, i vft, i sec and when t = ft/sec, i ft/sec, i ft/sec, i sec ft ft ft