Answer Happy

TEXT BOOK PROBLEMS: 2/3 The velocity of a particle which moves along s-axis is given by v = 2 - 41 +50372, where t is in seconds and v is in meters per second. Evaluate the positions, velocity v, and acceleration a when t = 3 s. The particle is at the position so =3 m when t=0. Ans. s = 22.2 m, v = 15.98 m/s a = 8,99 m/s? 2/5 The acceleration of a particle is given by a = 2t -10, where a is in meters per second squared and t is seconds. Determine the velocity and displacement as functions of time. The initial displacement at t=0 is so = - 4, and the initial velocity v. = 3 m/s. Ans. v=3 - 10t + t (m/s) s=-4 + 3t -5t + 1/3 t° (m) 2/8 The velocity of a particle moving in a straight line is decreasing at the rate of 3 m/s per meter of displacement at an instant when the velocity is 10 m/s. Determine the acceleration a if the particle at instant. Ans. a = - 30 m/s2