A) \[a=5\,m{{s}^{-2}},\,\,\upsilon =75\,m{{s}^{-1}}\]
B) \[a=7.5\,m{{s}^{-2}},\,\upsilon =100\,m{{s}^{-1}}\]
C) \[a=20\,m{{s}^{-2}},\,\upsilon =150\,m{{s}^{-1}}\]
D) \[a=150\,m{{s}^{-2}},\,\upsilon =10\,m{{s}^{-1}}\]
Correct Answer: C
Solution :
| [c] Distance travelled by the body in first four second. | |
| \[200=4u+\frac{1}{2}\times a\times {{(4)}^{2}}\] | |
| \[\Rightarrow \] \[u+2a=50\] ...(i) | |
| Distance travelled in first six second, | |
| \[200+220=6u+\frac{1}{2}a{{(6)}^{2}}\] | |
| \[\Rightarrow \] \[u+3a=70\] | ..(ii) |
| Subtracting Eq. (i) from Eq. (ii), we get |
| \[a=20\,m{{s}^{-2}}\] |
| From Eq. (i), we get |
| x\[u=50-2(20)\] |
| \[u=0\,m{{s}^{-1}}\] |
| Now, \[v=u+at\] |
| \[\Rightarrow \] \[v=10+20\times 7\] |
| \[\Rightarrow \] \[v=150\,m{{s}^{-1}}\] |
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