A spaceship is moving along a straight path from Venus into the heart of the Sun. The velocity of the spaceship f hours after leaving Venus is v(t)= 0.0121 + 400 thou- sands of miles per hour. (To simplify matters we will pre- tend that Venus is not moving with respect to the sun; you may assume that everything is fixed in place in this exercise.) (a) Say what you can about the initial values so y, and do, and then use derivatives and antiderivatives to find equations for the position and acceleration of the spaceship. (b) Is the spaceship always moving towards the sun? How can you tell?