. Draw the distance-time graph for given velocity-time graph. Use appropriate marking on graph. Also find its
average velocity.
Answers
Given : velocity-time graph.
To Find : Draw the distance-time graph
average velocity
Solution:
at t = 0 , S = 0
S = (1/2)(u + v) * t , v = u + at
at t = 1 v = 2 => S = (1/2)(0 + 2) * 1 = 1
at t =2 v = 4 => S = (1/2)(0 + 4) * 2 = 2
at t =3 v = 6 => S = (1/2)(0 + 6) * 3 = 9
at t =4 v = 8 => S = (1/2)(0 + 8) * 4 = 16
at t =5 v = 10 => S = (1/2)(0 + 10) * 5 = 25
from t = 5 to t = 10 v is constant 10
Hence at
t = 6 S = 25 + 10* 1 = 35
t = 7 S = 25 + 10* 2 = 45
t = 8 S = 25 + 10* 3 = 55
t = 9 S = 25 + 10* 4 = 65
t =10 S = 25 + 10* 5 = 75
from t = 10 to 15
t = 11 , S = 75 + (1/2)(10 + 8) * 1 = 84
t = 12 , S = 75 + (1/2)(10 + 6) * 2 = 91
t = 13 , S = 75 + (1/2)(10 + 4) *3 = 96
t = 14 , S = 75 + (1/2)(10 + 2) *4 = 99
t = 14 , S = 75 + (1/2)(10 + 0) *5 = 100
Now plot points :
distance-time graph is plotted
Total Distance = 100 m
Time = 15 sec
Average velocity = 100/15 = 20/3 = 6.67 m/s
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