A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m/s2, the range of the missile is

Question

A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m/s2, the range of the missile is (A) 40 m (B) 50 m (C) 60 m (D) 20 m

Tardigrade Admin · Accepted Answer

Here, u=20 m / s , g=10 m / s 2 For maximum range, angle of projection is θ=45° ∴ R max =(u2 sin 90°/g)=(u2/g) (∵ R=(u2 sin 2 θ/g)) =((20 m / s )2/(10 m / s 2))=40 m

Q. 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

40 m

50 m

60 m

20 m

Here, $u = 20 m / s, g = 10 m / s^{2}$
For maximum range, angle of projection is $θ = 4 5^{\circ}$
$∴ R_{m a x} = \frac{u ^{2} s i n 9 0 ^{\circ}}{g} = \frac{u ^{2}}{g}$
$(∵ R = \frac{u ^{2} s i n 2 θ}{g})$
$= \frac{( 20 m / s ) ^{2}}{( 10 m / s ^{2} )} = 40 m$

Q. A missile is fired for maximum range with an initial velocity of 20m/s. If g=10m/s2, the range of the missile is