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TS EAMCET · Physics · Motion In One Dimension

A body moving with uniform acceleration, travels a distance of 25 m in the fourth second and 37 m in the sixth second. The distance covered by the body in the next two seconds is

  1. A 63 m
  2. B 84 m
  3. C 49 m
  4. D 92 m
Verified Solution

Answer & Solution

Correct Answer

(D) 92 m

Step-by-step Solution

Detailed explanation

For uniformly accelerated motion, \(S_n=u+(2 n-1) \frac{a}{2}\) \(\therefore \quad 25=u+(2 \times 4-1) \frac{a}{2}=u+\frac{7}{2} a\) ...(i) Again, \(37=u+(2 \times 6-1) \frac{a}{2}=u+\frac{11}{2} a\) ...(ii) From eq (i) and (ii), we get…