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:
For the present case,
Sx = 10,000m
Solve for in equation (1)
10000 = u²sin(2*45°)/g
To travel less distance horizontally, we cannot change u, but we can vary θ such that:
5000 = 313.05&aup2;*sin(2θ)/g
asin(0.5)=30° or 120°.
Therefore θ can be 15° or 60°.
Answer This Question
More 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 - 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 ...
- Physics - A soldier is tasked with measuring the muzzle velocity of a new rifle...
- Physics - A rifle has a mass of 4.73 kg and it fires a bullet of mass 13.6 g at ...