The left lower sketch illustrates the bugs distance from ground at various time interval
Given : Bug's speed is fast first, then it stops. Afterwards, its speed slowly increases, & fastens up later.
a. The upper row upward sloping graphs denote that, distance from ground is increasing with time interval. It is not rational & practical, as the bug is travelling on the tree - above ie far from ground. So, the distance must fall with time.
b. The right lower sketch shows distance falling with time, but at a constant rate. However, it is given that bug's speed is variable. Also, the bug rest state is not denoted by any constant stationarity in the curve.
c. The left lower ( downward sloping inverse S ) sketch is correct, as :
- At time 0 seconds, entire distance to be covered is remaining - as denoted by curve touching y axis.
- With increasing time distance is falling, as denoted by downward sloping curve.
- The distance is falling at a variable (sometimes at a faster, sometimes at a slower) rate, suitable as per bug dynamic speed.
- The distance travelled is constant (same) from 10 to 20 seconds, denoting bug stoppage for the mean time.
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