A body in free fall vertically, find maximum height and time of flight.

A rock is thrown upward from ground level with initial upward velocity of 25 m/sec. The rock falls back down into a hole and strikes the bottom 35 meters below the ground surface. Find the maximum height reached and the total flight time.

From a roof, one object dropped. Later another thrown down. Both hit at the same time. find height of building.

From a rooftop, a rock is released at rest and 2 seconds later, a marble is thrown downward from the roof with initial speed of 24.5 m/sec. Both hit the ground at the same instant. Find the height of the building.

A rock is thrown upward from the ground. Find the change in height during a certain time interval.

A rock is given initial upward velocity of 49 m/sec at ground level. Find the change in height in the last 1.5 seconds of its upward motion.

Given a graph of x(t) with two known points, develop x(t).

A moving point has constant acceleration along an x axis. The graph shown as ATTACHMENT #1 shows the graph with certain known information listed. Find the equation of the line, x(t), from the given known points.

Two spacecrafts approaching each other, pass each other twice. Find the times and locations of each passing.

Spacecraft A is initially 120 m from spacecraft B, moving towards each other on parallel paths. Both spacecrafts apply reverse thrust to reverse their motion after which they meet twice. Spacecraft A has initial velocity VoA= +25 m/sec and acceleration aA= -3 m/sec^2. Spacecraft B has initial velocity VoB= -30 m/sec and acceleration aB=+ 4 m/sec^2. Let A be initially at the origin, and B at 120 m. SEE ATTACHMENT #1 for a diagram of initial conditions. PART a. Find the two times and locations where they meet. PART b. On the 'x vs t' set of axes show qualitatively, the x(t) graph of each spacecraft. Include x and t coordinates of intersections and intercepts.