The range of a projectile is the horizontal distance it covers during it s flight. What...
The range of a projectile is the horizontal distance it covers during it s flight. What are two different ways for a projectile with the same muzzle velocity to fly across the same range. ?
Please write the answer in terms of two distinct formulas
Homework Answers
Range of the projectile is given by
where v is the muzzle velocity, theta is the angle of launch and g is the gravitational acceleration. If v and g are the same, then there are two values of theta for which sin(2 theta) is the same because
Hence range of the projectile can be same for two different values of angle of launch.
The angles of launch for which the range is the same are
and 
.
For example if theta = 10 degrees, then range is also the same for 90 - 10 = 80 degrees
Only when theta = 45 degrees, both the angles are the same and this is the maximum range.
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