11) This question asks us to find how the horizontal range of a projectile would change if we double the launch speed of the projectile.
The question tells us that the projectile starts and ends at the same height. Using the conservation of energy, we know that if the projectile starts and ends at the same height, the initial and final velocity in the y-direction will be of the same magnitude and opposite direction. Using this information, we can solve for a general equation for the time it takes for the object to complete its path.
At this point, we have an equation for the time it takes for the ball to hit the ground. Our next step is to calculate the horizontal distance. Since there are no forces acting horizontally on the ball, we know that there is a constant horizontal velocity.
Now that we have an equation for the horizontal range, we can compare the first and second situations to find how the range is affected.
Answer: D
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