[See Solution] A projectile is moving on a horizontal plane with its acceleration given by the equation a(t)=2-3t. The initial velocity is 2ft/sec, and


Question: A projectile is moving on a horizontal plane with its acceleration given by the equation \(a\left( t \right)=2-3t\). The initial velocity is 2ft/sec, and its original displacement is 10 ft at t = 1.

  1. What is the displacement equation \(s\left( t \right)\) under these conditions?
  2. When will the projectile reach its relative maximum and minimum displacement?
  3. How far did the projectile travel over the interval [1,3]?

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