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°.
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