A car moves from rest with a constant acceleration of 4m/s squared for 5s .IT then continues with the speed attained for10s and then accelerates at 2m/s squared for 10s.A/ SKETCH A SPEED TIME GRAPH FOR THE WHOLE MOTION GIVING YOUR VALUES ON BOTH AXES.B/CALCULATE THE AVERAGE SPEED OF THE CAR DURING THE MOTION.

1 answer

graph it. At the end of each time period, the beginning speed is what the previous graph segment ended at.

average speed is a little more difficult.



Average speed is not (Vf+Vi)/2, as some will try to tell you.
What average speed is total distance/time
So you need total distance.
so figure distance this way. On your graph, make a grid of squares below the curves/lines. Now distance is speed*time, so figure immediately what your square scale is in speed, and time. Now count the squares, and estimate the area, that is then distance traveled.

see this as an example (IT IS NOT YOUR PROBLEM). The area below the graph is distance. http://docs.engineeringtoolbox.com/documents/1373/speed-time-graph.png