Posted by **Jessica** on Thursday, February 24, 2011 at 9:37pm.

A bullet leaving a rifle at an angle of 45 degrees travels a distance of 10 Km determine: A). The muzzle velocity B). What angle would you have to shoot the same bullet to go HALF the distance? Lower angle

- Physics 2(Plz Help! :) :) ;)) -
**MathMate**, Friday, February 25, 2011 at 4:00pm
First we need to derive the horizontal distance covered for a muzzle velocity of u, and angle with the horizontal θ.

The time t the bullet stays in the air is

Sy=0 = u*sin(θ)*t - (1/2)gt²

Solving for t gives t=2u*sin(θ)/g.

Substitute t in the usual formula for horizontal distance:

Sx=(u*cos(θ))*t

=2u²sin(θ)cos(θ)/g

=u²sin(2θ)/g ....(1)

For the present case,

Sx = 10,000m

Solve for in equation (1)

10000 = u²sin(2*45°)/g

u=sqrt(10000g/1)=313.05 m/s

To travel less distance horizontally, we cannot change u, but we can vary θ such that:

5000 = 313.05&aup2;*sin(2θ)/g

or

sin(2θ)=5000g/313.05²=0.5

asin(0.5)=30° or 120°.

Therefore θ can be 15° or 60°.

## Answer This Question

## Related Questions

- physics - can someone explain how to do this step by step i already have the ...
- physics - A bullet leaves a rifle with a muzzle velocity of 521 m/s. While ...
- physics - A bullet leaves a rifle with a muzzle velocity of 553 m/s. While ...
- Scienca - A bullet leaves a rifle with a muzzle velocity of 521 m/s .while ...
- physics - can someone explain how to do this? The muzzle velocity of 60g bullet...
- physics - can some one explain how to do this The muzzle velocity of 60g bullet...
- Physics - A rifle shoots a 4.1g bullet out of it's barrel. The bullet has a ...
- Physics - A rifle with a mass of 1.84 kg fires a bullet with a mass of 4.5 g (0....
- Physics - A rifle with a mass of 1.2 kg fires a bullet with a mass of 6.0 (0....
- physics - a rifle that has been ‘sighted in' for a 91.4-meter target. If the ...

More Related Questions