uniform speed of 240 km
boy runs first 100 m with a uniform speed of 8 m/s and the next 200 m with a uniform
speed of 5 m's Calculate the average speed of the boy.
15.71 m
Answers
Answer:
Given,
In first event, displacement S=200m in time t
1
=25sec
In second event, displacement S=−100m in time t
1
=15sec
Average velocity=
total time
Total displacement
=
t
1
+t
2
S+(−S)
=
25+15
200+(−100)
=2.5ms
−1
Average speed=
total time
Total distance
=
t
1
+t
2
S+S
=
25+15
200+100
=10ms
−1
Hence, Average velocity 2.5ms
−1
and average speed is 10ms
−1
Explanation:
By this example you can solve this question.
Given :-
• Distance travelled, s1 = 100 m
• Speed, v1 = 8 m/s
• Time taken to cover the distance, t1 = ?
By using the formula,
• t1 = 100/8
• t1 = 12.5 s
• Distance travelled, s2 = 200 m
• Speed, v2 = 5 m/s
• Time taken to cover the distance, t2 = ?
By using the formula,
• t2 = 200/5
• t2 = 40 s
Total distance covered, s = 100+200 = 300 m
Total time taken, t = 12.5+40 = 52.5 s
• Average speed, v(av) = s/t
• v(av) = 300/52.5
• v(av) = 5.71