2. if a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per
second, then its height h after t seconds is given by the equation h(t) =-167 +128t (if air resistance is
neglected)
5. you
that yo
height
a. how long will it take for the rocket to return to the ground?
b. after how many seconds will the rocket be 112 feet above the ground?
c. how long will it take the rocket to hit its maximum height?
d. what is the maximum height?

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?