First slide

Projectile motion

Question

A lift is going up with an acceleration 2 ms^-2. A stone is thrown upward from its floor making angle 15^o with horizontal with a speed of $4 \sqrt{3} {ms}^{- 1}$ with respect to lift. Find the horizontal range (in meter) inside the elevator.

Moderate

Solution

Here, effected acceleration due to gravity is
$\begin{array}{l} g_{eff} = 10 + 2 = 12 {ms}^{- 2} \\ ∴ R = \frac{u^{2} \sin 2 α}{g_{eff}} = \frac{(4 \sqrt{3})^{2} \sin 30^{\circ}}{12} = \frac{48}{12 \times 2} = 2 m \end{array}$

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