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At a certain angle - 45 degrees if the starting point and end point are at the same level, and air resistance can be ignored - and at a certain speed, the range is maximum. Both for lower and for higher angles, you get a lower range.

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Q: Why there are two possible angles of projection for same range with same velocity of projection?
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What are the angles for which the range of projectile is the same?

For a projectile launched at an angle θ, the range is the same for angles of θ and (90-θ) degrees. This is because the horizontal and vertical components of the initial velocity are the same for these angles, resulting in the same horizontal range.


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The range of projectile is maximum when the angle of projection is?

The range of projectile is maximum when the angle of projection is 45 Degrees.


Why can two different angles lead to the same range?

Two different angles can lead to the same range because the same horizontal distance can be covered by projectiles launched at different launch angles. The range of a projectile is influenced by both its initial velocity and the launch angle. When two different launch angles result in the same horizontal distance traveled, it means that despite the difference in trajectory, the vertical and horizontal components of the motion combine in such a way that the projectile lands at the same distance.


Why do complementary angles of launch result in the same projectile range?

Complementary angles refer to angles that add up to 90 degrees. When launching a projectile at complementary angles, the vertical components of the velocities cancel out, resulting in the same range for the projectile regardless of the angle of launch. This is because the horizontal component of the velocity, which determines the range, is the same for both angles.


At what launch angle or angles will the projectile land at half of its maximum possible range?

The half maximum range of a projectile is launched at an angle of 15 degree


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Does the initial velocity in a projectile is inversely proportional to the range?

No, the initial velocity of a projectile is not inversely proportional to the range. The range of a projectile is determined by a combination of its initial velocity, launch angle, and acceleration due to gravity. A higher initial velocity can lead to a longer range, but it's not a strict inverse relationship.


What is the only factor that affects the range of a projectile?

The initial velocity of the projectile is the only factor that affects its range. Increasing the initial velocity will result in a longer range, while decreasing it will result in a shorter range.


Why ranges are equal at 30 degree and 60 degree?

At 30 degrees and 60 degrees, the sine values are equal. Since the range of a projectile depends on the initial vertical velocity (which is influenced by the sine of the launch angle), the ranges are equal at these angles as the vertical component of the initial velocity remains the same.