1. Projectile follows a_ path.
a. parabolic b. vertical c. hyperbolic
2. Which angle produces the greatest
a. 30° range? b. 45° c. 60°
3. Which two angles will produce the same range?
a. 40 and 60 degrees b. 35 and 65 degrees d. trigonometric d. 75°
c. 30 and 60 degrees d. 45 and 15 degrees il ill land?
a. parabolic b. vertical c. hyperbolic
2. Which angle produces the greatest
a. 30° range? b. 45° c. 60°
3. Which two angles will produce the same range?
a. 40 and 60 degrees b. 35 and 65 degrees d. trigonometric d. 75°
c. 30 and 60 degrees d. 45 and 15 degrees il ill land?
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Answer:
1.) A. Parabolic
2.) B. 45°
3.) D. 45° and 15°
Explanation:
1.) Projectile follows a parabolic path.
2.) 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 2θ = 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.
3.) Any two angles that have a 2:1 ratio will result in the same range when launched at the same speed. b. Two launch angles that add to 90° will result in the same range when launched at the same speed.