Question

a police helicopter takes off from the roof of a building. after reaching its peak, it flies straight ahead at a constant height for a few minutes. then it quickly ascends to a higher level. using three segments, sketch a possible graph that shows the height of the helicopter versus time.

Explanation:

Step1: First - Ascent phase

The height of the helicopter increases rapidly from the initial height (starting at the building roof) as it ascends. So, the graph will have a steep positive - slope line segment in the beginning.

Step2: Second - Constant height phase

After reaching the peak, it flies straight ahead at a constant height. The graph will be a horizontal line segment during this time as the height does not change with time.

Step3: Third - End of graph

The graph can end at the end of the time interval considered for the constant - height flight.

Answer:

Sketch a graph with an initial steep upward - sloping line segment (representing the ascent), followed by a horizontal line segment (representing the flight at constant height).