For what value(s) of a is the tangent line to the graph of f(z) = 10x3 + 45x2 parallel to the line y = -1.1 ? If there is more than one value of a, list them as a comma separated list.Suppose that the equation of motion for a particle {where s is in meters and t in seconds} is 32(1/3)t32t2+4t+4 {a} Find the velocity and acceleration as functions of t. Velocity at time t = C] Acceleration at time t = C] {h} Find the acceleration after 1 second. Acceleration after 1 second: C] {c} Find the acceleration at the instant when the velocity is D. Acceleration: C] Suppose that the equation of motion for a particle {where s is in meters and t in seconds} is 32(1/3)t32t2+4t+4 {a} Find the 1urelocityr and acceleration as functions of t. Velocity at time t = C] Acceleration at time t = C] {h} Find the acceleration after 1 second. Acceleration after 1 second: C] {c} Find the acceleration at the instant when the velocity is D. Acceleration: C] The position of a particle moving on a horizontal line (where .5 is in feet to the right of a xed reference point and t is in seconds after the start of the observation) is 3(t) =t4i4t+ 15, 20. (A) Find the velocity, in feet per second, at time t: 11(t) = C] (E) Find the velocity (in ftl'sec) of the particle at lime t = 3. C] (C) Find all values of t for which the particle is at rest. (If there are no such values, enter none . If there are more than one value, list them separated by commas.) t = C] (D) Use interval notation to indicate when the particle is moving in the positive direction. (If needed, enter inf for 00. If the particle is never moving in the positive direction, enter none .) C] (E) Find the total distance {in feet) traveled during the rst 8 seconds. C]