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TS EAMCET · Physics · Motion In One Dimension

The initial and final velocities of a body projected vertically from the ground are \(20 \mathrm{~ms}^{-1}\) and \(18 \mathrm{~ms}^{-1}\) respectively. The maximum height reached by the body is (Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )

  1. A 20 m
  2. B 16.2 m
  3. C 19 m
  4. D 18.1 m
Verified Solution

Answer & Solution

Correct Answer

(A) 20 m

Step-by-step Solution

Detailed explanation

\(v^2 = u^2 + 2as\) \(0^2 = (20 \mathrm{~ms}^{-1})^2 + 2(-10 \mathrm{~ms}^{-2})h_{max}\) \(0 = 400 - 20h_{max}\) \(20h_{max} = 400\) \(h_{max} = 20 \mathrm{~m}\)
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