First slide

Projection Under uniform Acceleration

Question

A projectile is thrown with velocity U = 20 m/s $\pm$ 5% at an angle 600. If the projectile falls back on the ground at the same level then which of the following can not be a possible answer for range ?

Moderate

A

45 m
B

37.5 m
C

34.6 m
D

32.0 m

Solution

$\begin{array}{l} R = \frac{20^{2} \times \sin 120^{o}}{g} = 20 \sqrt{3} \\ = \frac{Δ R}{R} = \frac{2 Δ U}{U} \Rightarrow Δ R = \frac{2 \times 5}{100} \times 20 \sqrt{3} = 2 \sqrt{3} \\ 20 \sqrt{3} - 2 \sqrt{3} < R < 20 \sqrt{3} + 2 \sqrt{3} \\ \Rightarrow 31.1 m < R < 38.1 m \end{array}$

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