Kinematics 5 Question 11

1. Two particles are projected from the same point with the same speed $u$ such that they have the same range $R$, but different maximum heights $h _1$ and $h _2$. Which of the following is correct?

(12 April 2019 Shift II)

(a) $R^{2}=4 h _1 h _2$

(b) $R^{2}=16 h _1 h _2$

(c) $R^{2}=2 h _1 h _2$

(d) $R^{2}=h _1 h _2$

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Answer:

Correct Answer: 1. (b)

Solution:

1.15+\frac{1}{2} a t^{2} & =\left(u \cos 60^{\circ}\right) t \\ \therefore \quad 1.15+\frac{1}{2} a(\sqrt{3})^{2} & =10 \times \frac{1}{2} \times \sqrt{3} \end{aligned} $$

Solving this equation, we get

$$ a=5 m / s^{2} $$



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