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A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m/$s^2$, the range of the missile is
A
20 m
B
40 m
C
50 m
D
60 m
Detailed Solution
Range of a projectile: $R = \frac{u^2\sin2\theta}{g}$
The range is maximum when $\sin2\theta = 1$, i.e., $\theta = 45^\circ$.
$R_{max} = \frac{u^2}{g}$
$R_{max} = \frac{(20)^2}{10} = \frac{400}{10}$
$R_{max} = 40$ m
The range is maximum when $\sin2\theta = 1$, i.e., $\theta = 45^\circ$.
$R_{max} = \frac{u^2}{g}$
$R_{max} = \frac{(20)^2}{10} = \frac{400}{10}$
$R_{max} = 40$ m