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 sand bag at the instant when the balloon is 64 feet above the ground. (a) How many seconds after its release will the bag strike the ground? (Round your answer to two decimal places.) t= sec (b) At what velocity will it strike the ground? (Round your answer to three decimal places.) ft/sec

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.