The height (in meters) of a rocket launched vertically is modeled by a differentiable…
MATHEMATICS · Single correct · A Level · Mathematics · Kinematics · Kinematics
Problem
The height h (in meters) of a rocket launched vertically is modeled by a differentiable function of time t seconds. For 0<t<10, it is known that h′(t)>0, and for 4<t<10, it is additionally true that h′′(t)<0. Which statement best describes the motion of the rocket during the time interval 4<t<10?
(a) The rocket is descending and its downward velocity is increasing.
(b) The rocket is ascending and its upward velocity is decreasing.
(c) The rocket is ascending and its upward velocity is constant.
(d) The rocket is ascending and its upward velocity is increasing.