A rocket travels upward with velocity (in m/s) after t seconds given by v(t) = vt(8 - vt)2. Verify that the velocity is nonnegative and answer the questions below. (Round your answers to two decimal places.) How far does it travel during the first 25 seconds of its flight? 45 x m How far does it travel during the first minute? 45 X m How far has it gone when it momentarily slows to a stop? 45 * m Tutorial The non-negative distance an object travels over a given time interval equals the area of the region bounded by the velocity function, v(t), and the t-axis. How is the Fundamental Theorem of Calculus used to find the distance the rocket travels? Additional Materials