A projectile thrown with an initial velocity of 10 ms-1 at an angle α with the horizontal, has a range of 5 m. Taking g = 10 ms-2 and neglecting air resistance, what will be the estimated value of α ?

Question

A projectile thrown with an initial velocity of 10 ms-1 at an angle α with the horizontal, has a range of 5 m. Taking g = 10 ms-2 and neglecting air resistance, what will be the estimated value of α ? (A) 15° (B) 30° (C) 45° (D) 75°

Tardigrade Admin · Accepted Answer

5=(100 sin(2θ)/10) ∴ sin(2θ) =(1/2) ∴ θ =15Â°, 75Â°

Q. A projectile thrown with an initial velocity of 10 ms $^{-} 1$ at an angle $α$ with the horizontal, has a range of 5 m. Taking g = 10 ms $^{-} 2$ and neglecting air resistance, what will be the estimated value of $α$ ?

15°

30°

45°

75°

$5 = \frac{100 s in ( 2 θ )}{10} ∴ s in (2 θ) = \frac{1}{2} ∴ θ = 15°, 75°$

Q. A projectile thrown with an initial velocity of 10 ms−1 at an angle α with the horizontal, has a range of 5 m. Taking g = 10 ms−2and neglecting air resistance, what will be the estimated value of α ?

15°

30°

45°

75°

5=10100sin(2θ)​∴sin(2θ)=21​∴θ=15°,75°

Q. A projectile thrown with an initial velocity of 10 ms $^{-} 1$ at an angle $α$ with the horizontal, has a range of 5 m. Taking g = 10 ms $^{-} 2$ and neglecting air resistance, what will be the estimated value of $α$ ?

$5 = \frac{100 s in ( 2 θ )}{10} ∴ s in (2 θ) = \frac{1}{2} ∴ θ = 15°, 75°$