11.10 The acceleration of a particle is directly proportional to the square of the time t. When 1 = 0, the particle is at r = 24 m. Knowing that at 1 = 6 s, r = 96 m and o = 18 m/s, express r and o in...

11.11 The acceleration of a particle is directly proportional to the time t. At 1 = 0, the velocity of the particle is o = 16 in./s. Knowing that D = 15 in./s and that r = 20 in. when t = 1 s. determine the velocity, the position, and the total distance traveled when 1 = 7 s.

11.12 The acceleration of a particle is defined by the relation a = kt?. (a) Knowing that u = -32 ft/s when t = 0 and that o = +32 fU/s when t = 4 s, determine the constant k. (b) Write the equations of motion, knowing also that + = 0 when + = 4 s.