Consider the following data for the table below: • Projection Angle = 45.9° • Range (Trial 1) = 1.1 m • Range (Trial 2) = 1.11 m Range (Trial 3) = 1.12 m Projection Angle (°) Trial 1 Trial 2 What is the initial speed of the ball in (B)? O 3.30 m/s O 4.59 m/s O 2.75 m/s O 3.89 m/s Motion of Projectile on a Level Surface Range (m) Trial 3 Average (A) Initial Speed | Maximum (m/s) Height (cm) (B) (C)
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- According to the Guinness Book of World Records the longest home run evermeasured was hit by Roy “Dizzy” Carlyle in a minor league game. The ball travelled188 m (618 ft) before landing on the ground outside the ballpark. (a) Assuming theball’s initial velocity was in the direction of 450 above the horizontal and ignoringresistance, what did the initial speed of the ball need to be to produce such a homerun if the ball was hit in a point 0.9 m above ground level? Assume that the groundwas perfectly flat. (b) How far would the ball be above a fence 3.0 m high the fencewas 116 m from home plate?For the following exercises, use this scenario: A dart is thrown upward with an initial velocity of 65 mm per second at an angle of elevation of 52°. Consider the horizontal and vertical positions of the dart at any time t. Neglect air resistance. Discuss why this situation can be modeled using parametric equations. Discuss how you determined all possible values for t that represent the situation. What do maximum and minimum values of the parametric equations represent in this context?Explain how to find the range of a projectile projected horizontally from a top of a building with an initial velocity (make up your own initial velocity). First, use the kinematic formula for finding the time it takes to hit the target, delta y = (1/2) gt^2 . Then use the equation R = Vx * t to find the range. Explain please
- When a projectile is at the top/apex of its motion, how are the velocity, , and acceleration, , vectors related? Explain. What direction is each vector pointed at the apex?A plane flies horizontally at an altitude h = 4 km with a horizontal speed of 540 km / h ; it launches , without speed relative to the plane , a bomb . The pilot intends to bombard an immobile target , ahead on the ground . To study the motion of the bomb , we consider the system ( XOy ) of origin 0 representing the position of the plane at the instant of launching of the bomb as shown in the adjacent figure . We neglect air resistance . Given g = 9.8 m / s ? 1 ) Determine the launching speed of the bomb . 2 ) Determine the parametric equations of motion of the bomb . 3 ) At what distance « d » from the target should the pilot launch the bomb ? 4 ) Determine the direction and the magnitude of the velocity vector of the bomb at the point of impact with the target 5 ) Determine the position of the plane at the instant of hitting the target . 6 ) Precise , with justification , the trajectory of the bomb with respect to the pilot .Two students air on a balcony a distance h above the street. One student throws a ball vertically down-ward at a speed v0; at the same time, the other student throws a ball vertically upward at the same speed. Answer the following symbolically in terms of v0, g, h, and t. (a) Write the kinematic equation for the y-coordinate of each ball, (b) Set the equations found in part (a) equal to height 0 and solve each for t symbolically using the quadratic formula. What is the difference in the two balls' time in the air? (c) Use the time-independent kinematics equation to find the velocity of each ball as it strikes the ground, (d) How far apart are the balls at a time t after they are released and before the strike the ground?
- Show complete solution A ball is thrown following a projectile motion. It is known that the horizontal distance (range) the ball can travel is given by R=v02gsin 2θ , where r is the range (in feet), v0 is the initial speed (in ft/s), θ is the angle of elevation the ball is thrown, and g=32 ft/s2 is the acceleration due to gravity. a. Express the new range in terms of the original range when an angle (0< θ<45°) is doubled. b. If a ball travels a horizontal distance of 20 ft when kicked at an angle ofwith initial speed of ft/s, find the horizontal distance it can travel when you double .Hint: use result of item (a).Please don't provide handwritten solution.... An artillery shell is fired with an initial velocity of 300 m/s at 47.5° above the horizontal. To clear an avalanche, it explodes on a mountainside 44.0 s after firing. What are the x- and y-coordinates of the shell where it explodes, relative to its firing point? x = m y = mI need help answering this quadratic word problem, thanks in advance At the national spitting competition, contestants were lined up on top of a tall building. The winning projectile was projected off the top of the building in a trajectory defined by the following equation where the height (h) is in metres above the ground and time (t) is in seconds since the projectile was launched. h=-4.9t^2+29.4t+37.9 Show all work when answering the following (no guess and check allowed): a) If the mouth of the person who launched the winning projectile was 1.6 metres above the roof of the building, how tall was the building? b) To the nearest tenth of a second, how long was the projectile in the air before it hit the ground? (Nearest tenth of a second = one decimal place) c) To the nearest tenth of a second, determine how long the projectile was at or above 80m in height.
- Water leaves a Firemans hose (held near the ground) With an initial velocity vo=20.5 m/s at an angle theta= 31 degrees above horizontal. I assume the water acts as a projectile that moves without air resistance. Use a Cartisian coordinate system with the origin at the hose nozzle position. (A) using vo, theta, and g, write an expression for the time, tmax, The water travels to reach its maximum vertical height. (B) at what horizontal distance d From the building base, where should the firemen place the holes for the water to reach its maximum height as it strikes the building? Expressed a distance, D, in terms of vo, theta, and g. Hi! I'm struggling with this question on my trigonometry homework about linear velocity. Here is the situation, and I need to find the lineary velocity (v) using the equation V=r times theta, divided by time. "the tip of an airplane propeller 3 m long, rotating 500 times per minute. Hint: r= 1.5m" Thanks so much for your help. I appreciate it.Two projectiles are launched from the same point at the sameangle above the horizontal. Projectile 1 reaches a maximumheight twice that of projectile 2. What is the ratio of the initialspeed of projectile 1 to the initial speed of projectile 2? Explain.