A) \[S=ft\]
B) \[S=\frac{1}{6}f{{t}^{2}}\]
C) \[S=\frac{1}{2}f{{t}^{2}}\]
D) \[S=\frac{1}{4}f{{t}^{2}}\]
Correct Answer: D
Solution :
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 and slope of In graph, area ofgives distances, (say) ...(i) Area of rectangle ABED gives distance travelled in time t. Distance travelled in time Thus, \[S+(f{{t}_{1}})t+ft_{1}^{2}\,=15S\] \[S+(f{{t}_{1}})t+2S=15S\] ...(ii) From Eqs. (i) and (ii), we have From Eq. (i), we get Hence, none of the given options is correct.You need to login to perform this action.
You will be redirected in
3 sec