Calculus Applications of Integration Unit Exam Name:_Jiama R 1. An astronaut crawls to the edge of a cliff on planet Dork 33 feet above the surface of a lake. 1 second after the astronaut throws down a pineapple the velocity is 30 feet per second. It's acceleration decreases from drag in terms of time by a(t) = -10+0.It. The variable t represents time in seconds after the pineapple was thrown. Find the position function, s(t). alt ) = - loto.It 2. Find the area of the regions enclosed by the curves below. Create an integral expression and use your calculator to find the area. No algebraic work is needed x 3 f ( x ) = - 7 + 2x2 g (x) = -x2+4x