To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 290 m/s at 57.0° above the horizontal. It explodes on the mountainside 38.0 s after firing. What are the x and y coordinates of the shell where it explodes, relative to its firing point? m m
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- A World War II bomber flies horizontally over level terrain with a speed of 275 m/s relative to the ground and at an altitude of 3.00 km. The bombardier releases one bomb. (a) How far does the bomb travel horizontally between its release and its impact on the ground? Ignore the effects of air resistance. (b) The pilot maintains the planes original course, altitude, and speed through a storm of flak. Where is the plane when the bomb hits the ground? (c) The bomb hits the target seen in the telescopic bombsight at the moment of the bombs release. At what angle from the vertical was the bombsight set?Two birds begin next to each other and then fly through the air at the same elevation above level ground at 22.5 m/s. One flies northeast, and the other flies northwest. After flying for 10.5 s, what is the distance between them? Ignore the curvature of the Earth.Peter throws a baseball through a houses window. He stands 3.4 m from the window. The ball starts in his hand 1.1m above the ground and goes through the window at a point 2.4 m off the ground. a. Sketch the problem, including an xy coordinate system with the origin on the ground directly below the initial position of the ball, the y axis pointing upward, and the x axis pointing toward the house. b. What are the initial and final coordinates of the ball?
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- During the battle of Bunker Hill, Colonel William Prescott ordered the American Army to bombard the British Army camped near Boston. The projectiles had an initial velocity of 44 m/s at 32° above the horizon and an initial position that was 31 m higher than where they hit the ground. How far did the projectiles move horizontally before they hit the ground? Ignore air resistance. m=You pilot an airplane with the intent to fly 399 km in a direction 51.0 ° south of east from the starting airport. Air traffic control requires you to first fly due south for 81.5 km A) After completing the 81.5-km flight due south, how far are you from your destination? B) In what direction should you point your airplane to complete the trip? Give your answer as an angle relative to due C) your airplane has an average ground speed of 477 km/h, what estimated time of travel should you give to your passengers after completing the initial 81.5 km south? Plz include units.A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v0 = 17.5 m/s. The rock leaves his hand at a height of h = 45.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) x0= m y0= m (b) What are the components of the initial velocity? (Enter your answers in m/s.) v0x= m/s v0y= m/s (c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that vx and vy are in m/s and t is in seconds. Do not include units in your answers.) vx=17.5m/s vy=−9.8t m/s (d) Write the equations for the position of the rock with time, using the coordinates in the figure. (Use the following as necessary: t. Assume that x and y are…
- An artillery shell is fired with an initial velocity of 300m / s at 50.5 degrees above the horizontal. To clear an avalanche, it explodes on a mountainside 41.0 s after firing. What are the x- and y- coordinates of the shell where it explodes relative to its firing pointA canoeist, capable of travelling at a speed of 4.5 m/s in still water, is crossing a river that is flowing with a velocity of 3.2 m/s [E]. The river is 2.2 x 102 m wide. Use component vectors from this course (not i and j vectors) . Q ) If the canoe is aimed northward, where is the landing position of the canoe relative to its starting position and what is the displacement of the canoeist?Dock diving is a great form of athletic competition for dogs of all shapes and sizes. Sheba, the American Pit Bull Terrier, runs and jumps off the dock with an initial speed of 8.82 m/s at an angle of 28°with respect to the surface of the water. (Assume that the +x axis is in the direction of the run and the +y axis is up.) (a) If Sheba begins at a height of 0.76 m above the surface of the water, through what horizontal distance does she travel before hitting the surface of the water? Answer In m please (b) Write an expression for the velocity of Sheba, in component form, the instant before she hits the water. (Express your answer in vector form.) (c) Determine the peak height above the water reached by Sheba during her jump. ? m