WBJEE · Maths · Application of Derivatives
Two particles move in the same straight line starting at the same moment from the same point in the same direction. The first moves with constant velocity \(u\) and the second starts from rest with constant acceleration \(f\). Then,
- A they will be at the greatest distance at the end of time \(\frac{u}{2 f}\) from the start
- B they will be at the greatest distance at the end of time \(\frac{u}{f}\) from the start
- C their greatest distance is \(\frac{u^{2}}{2 f}\)
- D their greatest distance is \(\frac{u^{2}}{f}\)
Answer & Solution
Correct Answer
(C) their greatest distance is \(\frac{u^{2}}{2 f}\)
Step-by-step Solution
Detailed explanation
We know, \(S=u t+\frac{1}{2} a t^{2}\) Condition for first, As, velocity is constant \(u=u, v=u\) (constant) \(\therefore \quad a=0, s=u t \ldots(i)\) [from Eq. (i) Condition for second \(u=0, a=f\) (constant) \(\therefore\) \[ s=\frac{1}{2}a t^{2} \] \(s=\frac{1}{2} f t^{2}\)…
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