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A particle has initial velocity \(\mathbf{v} = 5\mathbf{i}\) and is at origin at this instant. Its acceleration is given by \((3\mathbf{i} + 4\mathbf{j})\). When the particle's \(x\)-coordinate is 16 units, then its speed is:
(a) 13 units
(b) \(\sqrt{161}\) units
(c) 12 units
(d) \(\sqrt{185}\) units
(4) β185 units
\(S =ut + \frac {1}{2}at^2\)
βΒ \(16 = 5t +\frac {3}{2}t^2\)
β t = 2
βΒ \(\vec {v}=\vec {u}+\vec {a}t = 11 \hat {i}+ 8\hat {j}\)