Assume the acceleration of the object is a(t) = 32 feet per second per second. (Neglect air resistance.) A balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 80 feet above the ground. (a) How many seconds after its release will the bag strike the ground? (Round your answer to two decimal places.) (b) At what velocity will it strike the ground? (Round your answer to three decimal places.) Assume the acceleration of the object is a(t) = 9.8 meters per second per second. (Neglect air resistance.) A baseball is thrown upward from a height of 2 meters with an initial velocity of 8 meters per second. Determine its maximum height. (Round your answer to two decimal places.) :lm On the moon, the acceleration of a free-falling object is 1.6 meters per second per second. A stone is dropped from a cliff on the moon and hits the surface of the moon 18 seconds later. How far did it fall? (Round your answer to one decimal place.) E m What was its velocity at impact? (Round your answer to one decimal place.) S We On the moon, the acceleration of a free-falling object is 1.6 meters per second per second. A stone is dropped from a cliff on the moon and hits the surface of the moon 18 seconds later. How far did it fall? (Round your answer to one decimal place.) E m What was its velocity at impact? (Round your answer to one decimal place.) S We Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x (t) is its velocity, and x (t) is its acceleration. A particle moves along the x-axis at a velocity of v(t) = 3/Vt, t > 0. At time t = 1, its position is x = 10. Find the acceleration and position functions for the particle. a(t) = x(t)