When a basketball player takes a standing shot, a coordinate system Oxy is formed with the center of the ball as the origin (see figure). Denoting the center coordinate of the basket as (x, y), the shot's height as H₁, and the ball's speed as vo, prove that the shot angle a must satisfy the subsequent relationship to YA make a shot: tan α = v² gx 1+ 1 2g 9x²1 y+ 2v²2, то H₁ Vo H₂
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- A playground is on the flat roof of a city school, hb = 6.70 m above the street below (see figure). The vertical wall of the building is h = 7.90 m high, to form a 1.2-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of ? = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. Question: (a) Find the speed at which the ball was launched.A playground is on the flat roof of a city school, h = 6.00 m above the street below (see figure). The vertical wall of the building is h = 7.50 m high, to form a 1.5-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of 0 = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (a) Find the speed at which the ball was launched. (No Response) m/s (b) Find the vertical distance by which the ball clears the wall. (No Response) m (c) Find the horizontal distance from the wall to the point on the roof where the ball lands. (No Response) mDuring a tennis match, a player serves the ball at 23.6 m/s, with the center of the ball leaving the racquet horizontally 2.60 m above the court surface. The net is 12.0 m away and 0.900 m high. When the ball reaches the net, (a) what is the distance between the center of the ball and the top of the net? (b) Suppose that, instead, the ball is served as before but now it leaves the racquet at 5.00° below the horizontal. When the ball reaches the net, what now is the distance between the center of the ball and the top of the net? Enter a positive number if the ball clears the net. If the ball does not clear the net, your answer should be a negative number. Use g=9.81 m/s?. Please explain step by step with drawing.. thank you.
- A soccer team is playing a game. When the game started, the kicker kicks the ball from the ground level with initial velocity at an angle 37.1 degrees above the horizontal. The ball completes its parabolic trajectory and hits the ground after 8.25 seconds. Find the balls initial speed.A playground is on the flat roof of a city school, h, = 6.70 m above the street below (see figure). The vertical wall of the building is h = 7.90 m high, to form a 1.2-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of 0 = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (a) Find the speed at which the ball was launched. 18.0 V m/s (b) Find the vertical distance by which the ball clears the wall. 0.32 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m (c) Find the horizontal distance from the wall to the point on the roof where the ball lands. 2.14 Your response differs from the correct answer by more than 10%. Double check your calculations. m3 parts, A projectile is shot from the edge of a cliff 115 mm above ground level with an initial speed of 65.0 m/sm/s at an angle of 35.0 ∘∘ with the horizontal, as shown in the figure (Figure 1) . d) At the instant just before the projectile hits point P, determine the magnitude of the velocity. e) At the instant just before the projectile hits point P, determine the angle made by the velocity vector with the horizontal. f) Find the maximum height above the cliff top reached by the projectile.
- During a tennis match, a player serves the ball at 28.3 m/s, with the center of the ball leaving the racquet horizontally 2.57 m above the court surface. The net is 12.0 m away and 0.900 m high. When the ball reaches the net, (a) what is the distance between the center of the ball and the top of the net? (b) Suppose that, instead, the ball is served as before but now it leaves the racquet at 5.00° below the horizontal. When the ball reaches the net, what now is the distance between the center of the ball and the top of the net? Enter a positive number if the ball clears the net. If the ball does not clear the net, your answer should be a negative number. Use g=9.81 m/s². (a) Number (b) Number Units UnitsA baseball slugger hits a pitch and watches the ball fly into the bleachers for a home run, landing h=6.5mℎ=6.5m higher than it was struck. When visiting with the fan that caught the ball, he learned the ball was moving with final velocity vf=31.35m/s at an angle θf=25.5∘ below the horizontal when caught. Assume the ball encountered no air resistance, and use a Cartesian coordinate system with the origin located at the ball's initial position. Create an expression for the ball’s initial horizontal velocity, v0,x, in terms of the variables given in the problem statement. Calculate the magnitude, in meters per second, of the vertical component of the ball’s initial velocity. Calculate the magnitude, in meters per second, of the ball’s initial velocity. Find the angle above the horizontal, in degrees, at which the ball left the bat.Solve all parts , i vll upvote , Asap plzzz
- Some cats can be trained to jump from one location to another and perform other tricks. Kit the cat is going to jump through a hoop. He begins on a wicker cabinet at a height of 1.722 m above the floor and jumps through the center of a vertical hoop, reaching a peak height 3.130 m above the floor. (Assume the center of the hoop is at the peak height of the jump. Assume that +xaxis is in the direction of the hoop from the cabinet and +y axis is up. Assume g = 9.81 m/s2.) (a) With what initial velocity did Kit leave the cabinet if the hoop is at a horizontal distance of 1.550 m from the cabinet? (Express your answer in vector form. Give your answer to at least two decimal places for each vector component.) v0 =?m/s (b) If Kit lands on a bed at a horizontal distance of 3.580 m from the cabinet, how high above the ground is the bed?In mA golfer gives a ball a maximum initial speed of 51.8 m/s. What is the longest possible hole-in-one for this golfer? Neglect any distance the ball might roll on the green and assume that the tee and the green are at the same level. What is the minimum speed of the ball during this hole-in-one shot?Danielle launches a ball off of a platform of height h with velocity vo at an angle 0 above the horizontal. A wall with a ball-sized hole a height H above the floor, with H > h, is a horizontal distance L = 24.0 m away from Danielle. The difference in height between H and h is one-twelfth of L, and the square of the magnitude of the velocity, v, is three-halves of the product gL. H 1 H – h = h 3 L Determine the two values of 0 that ensure the ball passes through the hole. Submit the larger angle as 0, and the smaller angle as 02.