Question: A projectile, launched vertically from the surface of Earth's moon at 64 ft/sec, travels upward with velocity after t seconds given by \(v\left( t \right)=64-\frac{16}{3}t\)

a) Sketch the graph of velocity as a function of time over the interval when the velocity is positive.

b) Use the area under this graph to find the maximum height of the projectile.