a body is moving in a straight line and it's displacement at various instant of time is given in the following table, time (s) =0, 1,2,3,4,5,6,7 , displacement (m) 2,6, 12,12, 12,18,22,24 I) total distance travelled in interval 1s to 5s, ii) average velocity in time interval 1s to 5s
Answers
given table :
time (s) = 0, 1, 2, 3, 4, 5, 6, 7
displacement (m) = 2, 6, 12, 12, 12, 18, 22, 24
(i) Total distance travelled in interval 1s to 5s , S = distance travelled in 1s to 2s + distance travelled in 2s to 3s + ... + distance travelled in 4s to 5s
= (12m - 6m) + (12m - 12m) + (12m - 12m) + (18m - 12m)
= 6m + 0m + 0m + 6m
= 12m
hence, total distance travelled in interval 1s to 5s is 12m.
(ii) average velocity = net displacement/total time taken
= (final position - initial position)/total time
position of body at (t = 5s) = 18m
position of body at (t = 1s) = 6m
so, final position of body is 18m and initial position of body is 6m.
now, average velocity = (18m - 6m)/(5s - 1s)
= 12m/4s
= 3 m/s
hence, average velocity in time interval 1s to 5s is 3m/s.
Explanation:
here is your answer hope it is helpful