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KVPY SA Exam 2015 Question Paper
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© examsnet.com
Question : 18
Total: 80
An object at rest at the origin begins to move in the +x direction with a uniform acceleration of 1 m/
s
2
for 4 s and then it continues moving with a uniform velocity of 4 m/s in the same direction. The x - t graph for object’s motion will be
Validate
Solution:
x
=
1
2
a
t
2
parabolic for 0 to 4 sec
[at t = 4 sec x
=
12
×
(
1
)
(
4
)
2
=
8
m]
then after (v = 4 m/s)
v = 4
d
x
d
t
=
4
x
∫
8
d
x
=
t
∫
4
4
d
t
x
–
8
=
4
(
t
−
4
)
x
=
4
t
−
8
(st. line)
© examsnet.com
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