Q)
The velocity-time graph of a body moving along a straight line is given below find:
(a) Average velocity in whole time of motion
(b) Average speed in whole time of motion
(c) Draw acceleration vs time graph.
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PHYSICS
The velocity-time graph of a body moving along a straight line is given below find:
(a) Average velocity in whole time of motion
(b) Average speed in whole time of motion
(c) Draw acceleration vs time graph.
question
December 27, 2019
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Srivathsa Oberoi
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ANSWER
a. Area of graph above time axis
A=
2
1
×(8−4)×10=60m
Area of graph below time axis
B=
2
1
×4×10=20m
Average velocity in whole time of motion
v
=
Totaltime
Displacement
=
Totaltime
AreaA−AreaB
=
12
60−20
=3.33ms
−1
b. Average speed in whole time of motion
v
av
=
Totaltime
Totaldistance
=
Totaltime
AreaA+AreaB
=
12
60+20
=6.67ms
−1
c. Acceleration:
From 0 to 2 s;
a=
t
2
−t
1
v
2
−v
1
=
2−0
10−0
=5ms
−2
From 2 to 6 s :
a=
t
2
−t
1
v
2
−v
1
=
6−2
10−10
=0
From 10 to 12 s: a=
t
2
−t
1
v
2
−v
1
=
10−6
−10−10
=−5ms
−2
From 10 to 12 s:
a=
t
2
−t
1
v
2
−v
1
=
12−10
0−(−10)
=5ms
−2
Acceleration vs time graph is drawn in figure.
solution
December 27, 2019
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Answer:
The velocity-time graph of a body moving along a straight line is given below find:
(a) Average velocity in whole time of motion
(b) Average speed in whole time of motion
(c) Draw acceleration vs time graph.
Explanation:
