For a fixed initial speed, the range of a projectile is determined by the angle at which it is fired. For all but the maximum, there are two angles that give the same range. Considering factors that might affect the ability of an archer to hit a target, such as wind, explain why the smaller angle (closer to the horizontal) is preferable. When would it be necessary for the archer to use the larger angle? Why does the punter in a football game use the higher trajectory?
For a fixed initial speed, the range of a projectile is determined by the angle at which it is fired. For all but the maximum, there are two angles that give the same range. Considering factors that might affect the ability of an archer to hit a target, such as wind, explain why the smaller angle (closer to the horizontal) is preferable. When would it be necessary for the archer to use the larger angle? Why does the punter in a football game use the higher trajectory?
For a fixed initial speed, the range of a projectile is determined by the angle at which it is fired. For all but the maximum, there are two angles that give the same range. Considering factors that might affect the ability of an archer to hit a target, such as wind, explain why the smaller angle (closer to the horizontal) is preferable. When would it be necessary for the archer to use the larger angle? Why does the punter in a football game use the higher trajectory?
Why an angle of 45 degrees gives the largest range possible in case of projectile motion
Our pinoy pride, Kai Sotto, is now training for his upcoming 3x3 basketball tournament next year. Under
International Basketball Federation (FIBA) rules, the three-point line is 6.75 meters from the center of
the basket. If he will train for three-point shooting, what should be the ball's angle when he shoots the
ball if he will try to shoot from a height as high as the basket with an initial velocity of 8.2 m/s? Is it 40°;
50°; 60°? How long would it take for the ball to reach the ring for each of the angles? What is the ball's
maximum height for each of the angles? And how fast is the ball's horizontal and vertical initial velocities
for each or the angles?
Consider a projectile being launched with an initial speed of 49.5 m/s at a variety of initial angles. Refer to the figure.
Part (a) What is the range, in meters, of the projectile if it is launched at an angle of θ1 = 70.6°?
b. What is the range, in meters, of the projectile if it is launched at an angle of θ2 = 38°?
c. What is the range, in meters, of the projectile if it is launched at an angle of θ3 = 90 − 70.6°, the complement of θ1?
University Physics with Modern Physics (14th Edition)
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