(1 point) The position of an object moving along a line is given by the function s(t), where s is measured in feet and t in seconds. We determine that the velocity is u(t) = 4t + 1 feet per second. How much does the position change over the time interval [0, 4]? Change in position = feet Suppose you are told that the object's initial position s(0) = 7. Determine s(2), the object's position 2 seconds later. s(2) = If you are told instead that the object's initial position is s(0) = 3, what is s(2)? s(2) = If we only know the velocity u(t) = 4t + 1 (but not the initial position), which of the following could be the position function? Select all that apply. OA. s(t) = 212 + + + 20 OB. s(t) = 212 + + + 5 Oc. s(t) = 212 + 1+ 37 OD. S(t) = 212 + t DE. s(t) = 212 + t+ 11 OF. None of the above If, in addition to knowing the velocity function is u(t) = 4t + 1, we know the initial position s(0), how many possibilities are there for s(t)?(1 point) On the moon the acceleration due to gravity is 5 ft/sec. An astronaut jumps into the air with an initial upward velocity of 12 ft/sec. How high does she/he go? feet How long is the astronaut off the ground? sec