A particle is projected with a speed u at an angle θ with horizontal from point A. It strikes elastically with a vertical wall at height h/2. It rebounds and reaches maximum height h and falls back on the ground at point B as shown in Figure. Distances from A to wall and from wall to B are x1 and x2, and time to cover is t1 and t2 respectively. Match the values in column I with the expressions in column II.Column IColumn IIi. √2a. x2−x1x2+x1 or x2+x1x2−x1ii. 1√2b. t2−t1t2+t1 or t2+t1t2−t1iii. 1c. usinθg(t2+t1)iv. 12d. ucosθ(t1+t2)x1+x2

A particle is projected with a speed u at an angle θ with horizontal

1.	A particle is projected with a speed u at an angle θ with horizontal from point A. It strikes elastically with a vertical wall at height h/2. It rebounds and reaches maximum height h and falls back on the ground at point B as shown in Figure. Distances from A to wall and from wall to B are x1 and x2, and time to cover is t1 and t2 respectively. Match the values in column I with the expressions in column II.Column IColumn IIi. √2a. x2−x1x2+x1 or x2+x1x2−x1ii. 1√2b. t2−t1t2+t1 or t2+t1t2−t1iii. 1c. usinθg(t2+t1)iv. 12d. ucosθ(t1+t2)x1+x2
Answer» A particle is projected with a speed $u$ at an angle $θ$ with horizontal from point $A$ . It strikes elastically with a vertical wall at height $h / 2$ . It rebounds and reaches maximum height $h$ and falls back on the ground at point $B$ as shown in Figure. Distances from $A$ to wall and from wall to $B$ are $x_{1}$ and $x_{2}$ , and time to cover is $t_{1}$ and $t_{2}$ respectively. Match the values in column I with the expressions in column II. $\begin{matrix} Column I & Column II i. \sqrt{2} & a. \frac{x_{2} - x_{1}}{x_{2} + x_{1}} or \frac{x_{2} + x_{1}}{x_{2} - x_{1}} ii. \frac{1}{\sqrt{2}} & b. \frac{t_{2} - t_{1}}{t_{2} + t_{1}} or \frac{t_{2} + t_{1}}{t_{2} - t_{1}} iii. 1 & c. \frac{u sin θ}{g (t_{2} + t_{1})} iv. \frac{1}{2} & d. \frac{u cos θ (t_{1} + t_{2})}{x_{1} + x_{2}} \end{matrix}$

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