A) from rest and moves with uniform velocity
B) from rest and moves with uniform acceleration
C) with an initial velocity and moves with uniform acceleration
D) with an initial velocity and moves with uniform velocity
Correct Answer: C
Solution :
The distance covered in nth second is \[{{S}_{n}}=u+\frac{1}{2}\left( 2n-1 \right)a\] Where u is initial velocity & a is acceleration \[\text{then 26=u+}\frac{19a}{2}\text{ }.....(i)\] \[\text{28=u+}\frac{21a}{2}\text{ }.....(ii)\] \[\text{30=u+}\frac{23a}{2}\text{ }.....(iii)\] \[\text{32=u+}\frac{25a}{2}\text{ }.....(iv)\] From eqs. (i) and (ii) we get \[u=7m/sec\], \[a=2m/\text{ }se{{c}^{2}}\] \[\therefore \]The body starts with initial velocity \[u=7m/sec\,\]and moves with uniform acceleration \[a=2m/se{{c}^{2}}\]
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