Motion along a line multiple choice questions. Im totally stumped by these. help is much appreciated, ill rate helpful

Suppose an object moves along a linear path according to the velocity function v(t) = el, where v(t) is in meters per second. If the object's position at t = 1 is s = 2, what is the function in terms of t that represents the position at any time t? o 2+ f e"du 0 2 - fu edt o 2 - f e"du 0 2+ f 2e"duAn object moves along a horizontal path with a velocity v(t) = 2t2 8t, where v(t) is measured in meters per second. If the object has an initial position of x(0) = 6 meters, what is the position of the object when its acceleration is zero? 0 4.667 O 4.378 O 3.675 O -4.667 What is the displacement of an object on the interval 0 S t 5 9 if its velocity is V (t) : 6 1/3t ? O 21.52 C) 22.62 0 22.82 0 23.42 If acceleration is a(t) = 5' and initial velocity is v(0) = 4, what is an integral function that could be used to find the velocity at any point in time? O v(t) = 4 - So 5"du O v (t) = 4+ S# 5t dt O v (t) = 4+ So 5"du O v (t) = 4+ 50 5" duThe velocity of a particle on the time interval 0 S x $ 3 is v(x) = e0.5x, where v(x) is in cm/s. What is the average velocity for the interval? O 2.321 O 2.436 O 3.425 O 3.524The velocity of a particle on the time interval 0 S t 5 3 is v{t} = t2 3t , where v(t) is in cmfs. What is the average velocity for the interval? 0 1.5 O 1 O -1 O -1.5 Suppose 1wit} = 3t 9 en the interval [0, 5]. What is the total distance traveled on [0, 5]? O 19.5 0 13.5 0 12.5 0 T.5 What is the total distance traveled by an object with a velocity v(t) = 3t3 3 on the interval [0, 3]? O 56.45 0 56.25 0 55.36 0 54.67