WBJEE · Physics · Motion In Two Dimensions
A body is projected from the ground with a velocity \(\mathbf{v}=(3 \hat{\mathbf{i}}+10 \hat{\mathbf{j}}) \mathrm{ms}^{-1} .\) The maximum height attained and the range of the body respectively are (given \(g=10 \mathrm{ms}^{-2}\) )
- A \(5 \mathrm{m}\) and \(6 \mathrm{m}\)
- B \(3 \mathrm{m}\) and \(10 \mathrm{m}\)
- C \(6 \mathrm{m}\) and \(5 \mathrm{m}\)
- D \(3 \mathrm{m}\) and \(5 \mathrm{m}\)
Answer & Solution
Correct Answer
(A) \(5 \mathrm{m}\) and \(6 \mathrm{m}\)
Step-by-step Solution
Detailed explanation
(a) Given, \(v=(3 i+10 j) m / s\) \(\Rightarrow \quad v_{x}=3\) and \(v_{y}=10\) \(\therefore\) Maximum height attained, \(H=\frac{v_{y}^{2}}{2 g}\)…
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