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) $R^{2}=h _1 h _2$
Show Answer
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} $$
