PROBLEM NO. 5 From point A, a projectile is launched with initial velocity v, at an angle 0. Determine the slc distance s which locates the point B of impact and the time of flight t when v, = 125m/s a 0 = 42°. А 20° 800 m В
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- In the control tower at a regional airport, an air traffic controller monitors two aircraft as their positions change with respect to the control tower. One plane is a cargo carrier Boeing 747 and the other plane is a Douglas DC-3. The Boeing is at an altitude of 2500 m, climbing at 100 above the horizontal, and moving 30 north of west. The DC-3 is at an altitude of 3000 m, climbing at 50 above the horizontal, and cruising directly west. (a) Find the position vectors of the planes relative to the control tower. (b) What is the distance between the planes at the moment the air traffic controller makes a note about their positions?In 1999, Robbie Knievel was the first to jump the Grand Canyon on a motorcycle. At a narrow part of the canyon (69.0 m wide) and traveling 35.8 m/s off the takeoff ramp, he reached the other side. What was his launch angle?An airplane undergoes the following displacements: First, it flies 59 kn in a direction 30° east of north. Next, it fies 58 kan due south. Finally, it flies 100 kum 30° north of west. Using analytical methods, determine how far the airplane ends up from its starting point. O A. 70.1 km O B. 74.4 km OC 71.5 km O D. 73 km O E. 68.7 km
- 3. A stone is projected at a cliff of height h = 57.0 m, with an initial speed of 43.0 m/s directed at an %3D angle of 0, = 51.0° above the horizontal. H A MA M h a) Find how long it takes the stone after launching to strike the point A. b) Find the maximum height H reached above the ground. c) Find the horizontal distance d, traveled by the stone.Vectors Problem Solvi 3. Solve for the resultant of A = 3.0N, 150°, B = 2.0N, 100° and č = 1.0N, 50° using component method. 4. Solve for the resultant of Ā = 35.0N, 15.0° N of E, B = 20.0N, 45° W of N and Č = 25.0N, 30° E of N using component method. 5. Solve for the resultant of A = 2.5N, 16.0° N of E and B = 10.0N, 40° E of N using law of sine and cosine? (You can verify your answer using the component method.)An airplane heads due south at 140 m/s through a 20 m/s cross wind blowing from west to east. The resultant velocity of the airplane is O a. 120 m/s, 8.13° east of south O b. 160 m/s, 8.13° east of south 141.42 m/s, 8.13° south of east O d. 141.42 m/s, 8.13° east of south Next page
- Two vectors, of magnitudes 20 and 30, are added. Which one of the following is a possible answer for the magnitude of the resultant? O a. 55 Ob. 60 Oc. 15 Od. 52A projectile is launched horizontally at A with a speed of Vo. The time flight is 8 sec. and the path of projectile. At B is inclined at 15° with horizontal. 1. Find the velocity at A. 2. Find the "x". 3. Find the "h".1) A cannonball is shot with an initial speed of 30.0 m/s and 25.0º angle above horizontal from a height of 12.0 m. How far can the cannonball go horizontally when it lands on the ground, in meters? Use g = 10.0 m/s2
- Body Projected Horizontally 3. A motorcycle stunt rider rides off the edge of a cliff. Just at the edge his velocity is horizontal, with magnitude 9.0m/s. Find the motorcycle's position, distance from the edge of the cliff, and velocity 0.50s after it leaves а. the edge of the cliff.A golfer strikes a golf ball on level ground.The ball leaves the ground with an initial velocity of 42 m/s [32oabove horizontal].a. Draw a vector diagram to describe the situation of the of golfball with initial velocity.b. Find the range (horizontal distance) of the golf ball travelled.c. Find the maximum height (vertical distance) the golf ballreachedProblem 2 ( A shot-putter is thrown from a height h = 2.1 m above the ground as shown in the figure below, with an initial speed of vo = 13.5 m/s and makes an angle 0o = 30.0° with the horizontal. a. Find the maximum height from the ground hmax b. How long the shot-putter was in the air? c. Find the distance d when it reaches the ground? % 13.5 m/s 2.1 m 10