Question

Compared to the range of a bullet shot horizontally just above horizontal ground, a bullet shot from the same position at an angle of 30 degrees with the same initial velocity as the first bullet, would travel a horizontal distance that is-

a) the same
b) farther
c) not as far
d) the same, but will remain in the air longer​

Answer 1

b) farther

Step-by-step explanation:

The range of the bullet shot horizontally just above the horizontal ground is given as;

`R_1 = (u^2sin(2\theta))/(g)`

where;

θ is the angle of projection with the horizontal ground = 0

R₁ = 0

The range of the bullet shot at an angle of 30 degrees with the same initial velocity as the first bullet is given as;

`R_2 = (u^2sin(2 \theta))/(g) \\\\R_2 = (u^2sin(2*30))/(9.8)\\\\R_2 = 0.088u^2`

Therefore, the second bullet will travel a horizontal distance that is farther