Displacement01
Geometry
Level
2
A toy car starts at a point O and moves around a circular track of 2m. What is its displacement from its starting point after it has moved 11.5m?
0.62
0.2
0.318
0.45
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
The car moves round the circle five times and stops 1.5m from its starting point along the track. Tracing a line from its starting point to where it stopped along the circumference forms a chord bounded by an arc(0.5) ∅/360* 2πr=perimeter of arc 90/360 2 3.142*r=0.5 r=0.318m
Using Pythagorean theorem 0.318²+0.318²=D² D=0.45m