the position time graph below represents the motion of a basketball coach durimg the ast 16seconds of the game
a.determine the total distance waled by the coach during the last 16 sec.
B.detrmine the resulting displacement of the coach in the last 16sec.
C.determinethe displacement of the coach after 12sec.
D.what was the fastest speed which he coach walked during any of the time intervals for the last 16 sec.
E.what was the average speed of the coach for thes 16 sec.
Dear Student
From 0 to 4 sec coach walks 8 m distance
From 4 to 6 sec he stays at same place only.
From 6 to 8 sec he walks from total distance travelled in 6 to 8 sec is 4 m
From 8 to 10 sec he stays at same place only
From 10 to 14 sec he again go from 4 m to 8 m, so total distance travelled in 10 to 14 sec is 4 m.
From 14 to 16 sec coach comes back to starting position so travelled total distance of 8 m in last 2 secs.
Total distance travelled by coach is = 8+4+4+8 = 24 m
Total displacement of coach is 0 m as he return back to same position after 16 sec.
Displacement of coach after 12 sec is 2m in one direction from 12 to 14 sec and 8 m in another direction from 14 to 16 sec. So total displacement is 8 - 2 = 6 m.
Fastest speed is for time for time interval for which coach travelled maximum distance.
In last 2 sec coach travelled 8 m distance in 2 sec, so fastest speed is 4 m/s.
Average speed is total distance covered by coach in 16 seconds / total time = 24/16 = 1.5 m/s2
From 0 to 4 sec coach walks 8 m distance
From 4 to 6 sec he stays at same place only.
From 6 to 8 sec he walks from total distance travelled in 6 to 8 sec is 4 m
From 8 to 10 sec he stays at same place only
From 10 to 14 sec he again go from 4 m to 8 m, so total distance travelled in 10 to 14 sec is 4 m.
From 14 to 16 sec coach comes back to starting position so travelled total distance of 8 m in last 2 secs.
Total distance travelled by coach is = 8+4+4+8 = 24 m
Total displacement of coach is 0 m as he return back to same position after 16 sec.
Displacement of coach after 12 sec is 2m in one direction from 12 to 14 sec and 8 m in another direction from 14 to 16 sec. So total displacement is 8 - 2 = 6 m.
Fastest speed is for time for time interval for which coach travelled maximum distance.
In last 2 sec coach travelled 8 m distance in 2 sec, so fastest speed is 4 m/s.
Average speed is total distance covered by coach in 16 seconds / total time = 24/16 = 1.5 m/s2