Please help, Im so stuck on these questions

1 An object moves along a path with a velocity t) : t2 gt, and the initial position of the object is x(0) = 3. What is the equation for the position of the object when the acceleration is zero? 0 310\" () du O 3f1(lu2gu) d'u. An object is moving with v(t) = 4 and the position X(1) = 4. What is the position of the object at t = 5? O 731.774 O 735.774 O 738.66 O 739.774Find the displacement of an object on the interval 1 g t g 5 if its velocity is shown. \"It! O 10.5 0 14.5 The position of an object is given by s(t) = In(t3). What is the displacement of the object between t = 1 and t = 4? 0 3 O 4.159 O 4.328 O 16.87An object is moving along a horizontal line such that it's velocity is v(t) = (3t+4) What is the object's displacement between t = 0 and t = 5? O 1.558 O 1.944 O 2.558 O 2.944An object moves along a line where its velocity function is as described by the graph. What is the total distance that it has traveled between [4, 9]? Assume v(t) = 3t - 6 on the interval [0, 4]. What is the total distance that the object traveled on [0, 4]? O 12 O 10 0 8 0 6Find the formula for the total distance traveled by an object with a velocity v(t) = to - 1 on the interval [0, 4]. o - So' (+3 - 1) at + Si (+3 - 1) dt o ful (+3 - 1) dt - S (+3 - 1) dt o fol (+3 - 1) at + S (+3 - 1) dt O - fo' (+3 - 1) dt - S (+3 - 1) dt\fFind the area between the curve of :1: : g and the y-axis on the interval [1, 4]. O 2.749 O 3.296 O 4.159 O 4.957 Find the area between the curve of y : %:B + 2 and the x-axis on the interval [-1, 2]. 27 O? 23 O? 21 0? 0E