An object thrown in the air has a velocity after seconds that can be described by v(t) = - 9.8z + 24(m) meters/second) and a height h(t) = - 4.9t ^ 2 + 2t + 60 in meters). The object has n = 2 kilograms. The kinetic energy of the shirst is given by K= 1 2 mr^ 2 , and the potential energy is given by 19.5mh. Find an expression for the total kinetic and potential energy K+ U as a functim of time. What does this expression tell you about the energy of the falling object?

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.