A projectile is fired in such a way that its horizontal range is equal to five times its maximum height. What is the angle of projection in degree? Option 1 Option 2 Option 3 Option 4 Option 5 53.1° 63.1° 70.0° 71.6° 74.0°
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- Questions 1 through 3 pertain to the situation described below: An archer wants to launch an arrow from a bow to clear a treetop that is 35.0 m vertically above, and 97.0 m horizontally away from, the launching location. Assume that the launching speed is 57.0 m/s and the launching angle is 0 above the horizontal. (1) How much does the arrow clear the treetop if 0 = 30.0°? (A) 3.6 m; (B) 3.1 m; (C) 2.6 m; (D) 2.1 m; (E) 1.6 m. (2) What is the maximum horizontal range of the arrow if 0 can vary? (A) 212 m; (B) 242 m; (C) 272 m; (D) 302 m; (E) 332 m. (3) What is the range of 0 for the arrow to clear the treetop? (A) 29.9-86.0°; (B) 28.9–81.0°; (C) 27.9–76.0°; (D) 26.9–71.0°; (E) 25.9–66.0°.You launch a projectile at an initial speed of 57.6 m/s from the ground. After 6.00 seconds of flight, the projectile lands on the ground. At what angle above the horizontal was the projectile launched? 23.6 degrees 20.0 degrees 30.7 degrees 39.9 degreesThe citizens of Paris were terrified during World War I when they were suddenly bombarded with shells fired from a long-range gun known as Big Bertha. The barrel of the gun was 36.6 m long, and it had a muzzle speed of 2.20 km/s. When the gun’s angle of elevation was set to 55.0°, what would be the range? For the purposes of solving this problem, ignore air resistance. (The actual range at this elevation was 121 km; air resistance cannot be ignored for the high muzzle speed of the shells.) km
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- To start an avalanche on a mountain, an artillery shell is fired from 1250 m from the base of the mountain at 300 m/s, 55.0°. What are its coordinates 9.0 seconds later? Where does it hit on the mountain? If you are unable to answer, draw a diagram showing why.A golfer has a choice of hitting a ball at 51° or at 38°. For maximum distance, which should the golfer choose? Ignore air resistanceYou launch a projectile at an initial speed of 47.6 m/s from the ground. After 6.70 seconds of flight, the projectile lands on the ground. At what angle above the horizontal was the projectile launched? 32.8 degrees 43.7 degrees 65.6 degrees 29.1 degrees