Question:

With what speed a body be thrown upwards so that the distances covered in the 5th second and $6^{th}$ second are equal?}

Show Hint

If distance in $n^{th}$ sec = distance in $(n+1)^{th}$ sec, then the time to reach peak is $n$ seconds. $u = n \times g$.
  • $75~m/s$
  • $49~m/s$
  • $\sqrt{98}~m/s$
  • $19.8~m/s$
Show Solution
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The Correct Option is B

Solution and Explanation


Step 1: Concept

Distances in consecutive seconds are equal only if the body reaches its maximum height at the end of the first of those two seconds.

Step 2: Meaning

This means the velocity becomes zero exactly at $t=5$ seconds.

Step 3: Analysis

Using $v = u - gt$: $0 = u - (9.8 \times 5)$.

Step 4: Conclusion

$u = 49~m/s$.
Final Answer: (B)
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