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A diwali rocket moves vertically up with...

A diwali rocket moves vertically up with a constant acceleration `a_(1) =20`//` 3 m s^(-2)`. After sometives, its fuel gers exhausted ad then if falls freely with an acceleration `a_(2) =10 m s^(-2)`, If themaximum height attained by the diwalin rocket is (h), using graphicalmerhod, find its speed when the fuel is just exausted. Assume `h=50 m`.

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To solve the problem step by step, we will analyze the motion of the Diwali rocket in two phases: the upward motion with fuel and the downward motion after the fuel is exhausted. ### Step 1: Understanding the Motion Phases 1. **Upward Motion**: The rocket moves upward with a constant acceleration \( a_1 = \frac{20}{3} \, \text{m/s}^2 \). 2. **Downward Motion**: After the fuel is exhausted, the rocket falls freely with an acceleration \( a_2 = 10 \, \text{m/s}^2 \). ### Step 2: Using Kinematic Equations We need to find the speed of the rocket when the fuel is exhausted. Let's denote: ...
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