A ballast is dropped from a stationary hotair balloon that is hovering at an altitude of 500 ft. The velocity of the ballast after t sec is -32t ft/sec. a) Find the height h(t) of the ballast from the ground at time t. Hint: h'(t) = -32t and h(0) = 500. h(t) = 500 - 16t^2 ft.

Question

A ballast is dropped from a stationary hotair balloon that is hovering at an altitude of 500 ft.  The velocity of the ballast after t sec is -32t ft/sec. a) Find the height h(t) of the ballast from the ground at time t.  Hint: h'(t) = -32t and h(0) = 500. h(t) = 500 -  16t^2 ft.
b) When will the ballast strike the ground? __________sec
c) Find the velocity of the ballast when it hits the ground. ____________ft/sec.

Steve · Accepted Answer

(a) is correct (b) solve for t when h=0 (c) use the above t to get v