Skip to main content
2. Intro to Derivatives
2. Intro to Derivatives / Tangent Lines and Derivatives / Problem 2
Problem 2

A rocket is launched vertically up, and its height above the ground is given by the function h(t)=400t50t2h\left(t\right)=400t-50t^2, where hh is in meters and tt is in seconds. The graph below shows h(t)h\left(t\right) along with its velocity function v(t)=dhdtv\left(t\right)=\frac{dh}{dt} and the acceleration function a(t)=d2hdt2a\left(t\right)=\frac{d^2h}{dt^2} for the time interval 0t80\le t\le8 s\text{s}.

Using the graph, determine the time when the rocket changes direction.

Learn this concept