Solve the following 3 questions:

A particle travels along the x-axis such that its velocity is given by v(t) = t"2.4*sin(t"2). If the position of the particle is x=1 when t=0, what is the position of the particle when t=3? Round your answer to the nearest thousandth. A particle travels along the x-axis such that its velocity is given by v(t) = t"1.3 2co_s(2t+3). The position of the particle is x=-2 when t=0. Determine the position, velocity, and acceleration at time t=4 and answer the analysis questions below. Find X(4) v(4) and a(4) Let f(x) = XAZ - 3x. What is the average value of f(x) on the interval [-2,2] written in simplest form