A) \[S=ft\]
B) \[S=\frac{1}{6}f{{t}^{2}}\]
C) \[S=\frac{1}{2}f{{t}^{2}}\]
D) None of these
Correct Answer: D
Solution :
[d] The graph between velocity and time gives the distance travelled by the body in the motion. |
The velocity-time graph for the given situation can be drawn as below. Magnitudes of slope ![]() ![]() |
![]() |
![]() |
![]() ![]() |
In graph, area of![]() |
distances, ![]() |
Area of rectangle ABED gives distance travelled in time t. |
![]() |
Distance travelled in time |
![]() |
Thus, ![]() |
\[S+(f{{t}_{1}})t+ft_{1}^{2}\,=15S\] |
\[S+(f{{t}_{1}})t+2S=15S\] ![]() |
![]() |
From Eqs. (i) and (ii), we have |
![]() |
![]() ![]() |
From Eq. (i), we get![]() |
![]() ![]() |
Hence, none of the given options is correct. |
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