TS EAMCET · Physics · Motion In Two Dimensions
A particle \(A\) moves along the line, \(y=30 \mathrm{~m}\) with a constant velocity, \(\mathbf{v}\) parallel to \(x\)-axis. At the moment particle \(A\) passes the \(y\)-axis, a particle \(B\) starts from the origin with zero initial speed and a constant acceleration, \(\mathbf{a}=0.40 \mathrm{~m} / \mathrm{sec}^2\). The angle between \(\mathbf{a}\) and \(y\)-axis is \(60^{\circ}\). If the particles \(A\) and \(B\) collide after sometimes, then the value of \(|\mathbf{v}|\) will be
- A \(2 \mathrm{~m} / \mathrm{s}\)
- B \(3 \mathrm{~m} / \mathrm{s}\)
- C \(4 \mathrm{~m} / \mathrm{s}\)
- D \(5 \mathrm{~m} / \mathrm{s}\)
Answer & Solution
Correct Answer
(B) \(3 \mathrm{~m} / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
As shown in the figure, two particles are moving with velocity \(v\) and acceleration a. Let the time of collision of two particles be \(t\), then the equation of motion, \[ s=u t+\frac{1}{2} a t^2 \] For particle \(A\),…
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