An athlete moves along a circular track whose diameter is 14 m and takes 160 seconds to cover 4 laps . What is the distance and displacement covered after four laps. Calculate the speed of the athlete after one lap.
please ans quickly
Answers
Answer:
Displacement=0
speed=0.35 m/s
Explanation:
the displacement is 0 as the starting and ending point are the same it is 0
Sped formula is distance divided by time
as it takes 160 to do 4 laps it takes 40 seconds to do 1 lap
so 14 divided by 40=0.35 so 0.35 m/s
Answer:
Given:-
diameter=14m
therefore radius=14/2=7m
also given 4 laps
time=160 s
Solution:-
We know
distance= total path/length covered by an object in any direction, whether backward or not
displacement=the shortest distance between the initial and final point in a specified direction.
We know
distance=total length
here it's circular path, therefore distance=circumference of the circle
we know Circumference=2πr
therefore
Circumference=2×22/7×7
that is 44 m
In round he completed 44m
Given he completed 4 laps in 160 second
that is
circumference×4
44×4=176
therefore he travelled a total distance of 176m
and now we've to find displacement
we know
displacement=shortest distance between the initial and final point, here two such points are the diameter,
that is displacement of a circular path=it's diameter
displacement=14 m
Now we've to find the speed
speed=distance/time
speed=176/160
that is he travelled 1.1 m per second
therefore his speed is 1.1m/s
hope it helps