Problema Solution
A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.
Is the ball at its maximum height after 1 second? In two or more complete sentences, explain how you know whether or not the ball is at its maximum height.
Answer provided by our tutors
h = (1/2)(-32)*t^2 + 30*t + 4
h = - 16t^2 + 30t + 4
after 1 second the height is
h = 18 ft
the maximum height is
h max = 4 - 30^2/(4*(-16))
h max = 18.0625 ft
the ball is not its maximum height after 1 second because 18.0625 <> 18.