A fireworks shell is launched in a level field at an angle of 70 degrees with an initial speed of 100 m/s. a. If the shell behaves as a projectile, determine its horizontal range (x displacement). [Get compone
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- A projectile is shot from a top of a building 96 feet high from a gun at an angle of 30 degrees with the horizontal. If the muzzle speed is 1600 ft/sec, a. Find the position vector of the shot.From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 7.90 m/s and angle of 25.0° below the horizontal. It strikes the ground 5.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: Yo. Assume SI units. Do not substitute numerical values; use variables only.) x₁ = 0 Y₁ = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. Vi,x= Vi, y = (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: yo and t. Assume SI units.) X = y = X m m/s m/s m m (d) How far horizontally from the base of the building does the ball strike the ground? (e) Find the height from which the ball was thrown. m (f) How long does it take the ball to reach a point 10.0 m below the…A swimmer tries to cross a river swimming at the angle θ to theperpendicular to the stream (to the left). The speed of the swimmer isv’, the speed of the river u (to the right) is unknown, and the width ofthe river is h. The swimmer lands at the distance ? to the right fromthe opposite point at the other side of the river. What was the speed ofthe river?
- Resolve the following vector: An airplane flies 52 m/s, 30 degrees south of east. The engine is directed due east. The wind is blowing due south. How fast is the engine thrusting the plane? (find the x-component). 26 m/s east O 45 m/s, east O 26 m/s west O 45 m/s westA catfish is spotted at the bottom of a creek. The depth of the water is 2 m. A hunter (with no knowledge ofoptics) fires a rifle shot, directly aimed at the catfish. The bullet strikes the water at an angle of 40° to the water. Assumethat the bullet is not deflected by the air/water interface, what is the distance from the bullet hole at the bottom of the creekto the catfish?A) 0.88 mB) 0.97 mC) 0.49 mD) 0.56 mE) 0.73 mPlease see att
- From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 7.50 m/s and angle of 21.0° below the horizontal. It strikes the ground 6.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: yo: Assume SI units. Do not substitute numerical values; use variables only.) X; = Y = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. Vi, x Vi, y = m/s %3D %3D m/s (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: yo and t. Assume SI units.)A basketball player is standing on the floor 14.0 m away from the basket. The height of the basket is 3.05 m, and heshoots the ball at 49.0° with the horizontal from a height of 2.00 m. At what speed must the player shoot the ball so thatit goes through the hoop without striking the backboard?(a) You are standing on one side of a river and a tree is directly across from you. You then walk adistance d along the river and determine that now the tree is at an angle θ. How wide is the river?A plane travels north at speed v0 for a time t0 and then travels east at 12v0 for a time 3t0. (b) How farto the north did the plane travel? How far to the east? (c) What is the total distance the plane is awayfrom its initial position?
- Please AsapExpress the following vector in the form v = v,i+v2j+v3k. 3u - v if u = (2,9, -7) and v = (3, - 9,5)A soccer player can kick the ball 30 m on level о ground, with its initial velocity at 37 ° to the horizontal. At the same initial speed and angle to the horizontal, what horizontal distance can the player kick the ball on a 13° upward slope?