Hello everyone. Im stumped here with this problem, i feel like it should be fairly simple but i cant seem to figure it out. 1. The problem statement, all variables and given/known data If the acceleration for a given object is given by the function: a(t) = +(3 m/s^3) · t (Note: units are included in the eqn, so if [t]=s then [a]=m/s^2.) (a) Examining this function, you can tell that: a1)the size of the acceleration will: ? a2)the direction of the acceleration will be: ? (b) If vi (at t=0 s) is -3 m/s, find v(t). Then answer the below: (b1)the size of the velocity will: ? (b2)the direction of the velocity will be: ? (c) If xi (at t=0 s) is -7 m, find x(t). Then answer the below: c1)After 4 s have passed, What position (x) is the object at now? ___m c2)What is the total distance travelled (since t=0 s)? ___m 2. Relevant equations I really dont know, Integration? maybe 3. The attempt at a solution Okay so for part (a) I answered that the size would be "increasing" which is correct. Also the direction of the acceleration will be "in the + direction" which is aslo correct. So for part (b) i take the integral of the a(t) and get: v(t) = (3/2)t^2 - 3 m/s by examining this i answered that the size would be "increasing" and "in the + direction" both of my answers are wrong and i dont understand why. Okay so i skip to part (c) take the integral of v(t): x(t) = (1/2)t^3 - 3t - 7 m so x(4) = (1/2)(4^3) - 3(4) - 7 = -11 -11 was not correct. so i thought it wise not to go on to part c2) lol and here i am stumped. Any help would be much appreciated. Thanks!