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Answer:
The textbooks say that the maximum range for projectile motion (with no air resistance) is 45 degrees.
Answer: The textbooks say that the maximum range for projectile motion (with no air resistance) is 45 degrees.
The sine function reaches its largest output value, 1, with an input angle of 90 degrees, so we can see that for the longest-range punts 2 x θ = 90 degrees and, therefore, θ = 45 degrees. A projectile, in other words, travels the farthest when it is launched at an angle of 45 degrees.
When the projectile reaches a vertical velocity of zero, this is the maximum height of the projectile and then gravity will take over and accelerate the object downward. The horizontal displacement of the projectile is called the range of the projectile, and depends on the initial velocity of the object.