Question

An ant is crawling along the x-axis such that the graph of its position on the x-axis versus time is a semi-circle. The total distance covered in the 4 sec is
1. 4 m
2. 2 m
3. 2 pie m
4. 4 pie m

Answer 1

depends on the ant's speed

distance = speed * time

all we know is time.

Answer 2

2m

Answer 3

Ans is 2pie
Because diameter of semicircle is 4
Radius is 2
Area of semicircle pie×r×r/2=2pie

Answer 4

Speed is not given.And diameter can not be in seconds, so we can not calculate.

Answer 5

As in the time axis, diameter is 4 unit, therefore, radius is 2 unit.
The radius is also 2 unit in the vertical direction (position axis) ie the maximum distance covered while crawling along positive x axis is 2m and along negative x axis is also 2m. Total distance covered = 2+2= 4m