In the figure, you throw a ball toward a wall at speed 23.0 m/s and at angle θ0 = 36.0˚ above the horizontal. The wall is distance d = 21.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? What are the (b) horizontal and (c) vertical components of its velocity as it hits the wall?
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In the figure, you throw a ball toward a wall at speed 23.0 m/s and at angle θ0 = 36.0˚ above the horizontal. The wall is distance d = 21.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? What are the (b) horizontal and (c) vertical components of its velocity as it hits the wall?
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- A student standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a stone with velocity v0 = 17 m/s at an angle θ = 27 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position. With what speed, vf in meters per second, does the stone strike the ground?A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vo=18.5 m/s. the cliff is h=49.0 m above a flat, horizontal beach. what are the coordinates of the initial position of the stone and the components of the initial velocity?A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vo = 23.0 m/s. The cliff is h = 61.0 m above a flat, horizontal beach as shown in the figure. h (a) What are the coordinates of the initial position of the stone? X0 = m Yo = (b) What are the components of the initial velocity? 0x m/s Voy* m/s (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) Vx= Vy= (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) X= y = (e) How long after being released does the stone strike the beach below the cliff? S (f) With what speed and angle of impact does the stone land? m/s ° below the horizontal
- A projectile is thrown from the top of a cliff with an initial speed of 25 m/s at an angle of 600 up from the horizontal. If the projectile lands 100 m from the base of the cliff how tall is the cliff?A cannon ball is fired at a wall that is 300 m away on level ground. The initial velocity of the cannon is 89 m/s, 40° above the horizontal. Don't assume the ball hits the wall at maximum height! What is the y-component of the ball's velocity when the ball hits the wall? h V; = 89 m/s 40° 300 m O 89.0 m/s O 9.81 m/s O 7.60 m/s O 18.2 m/s O 14.1 m/s O 2.99 m/sA projectile is fired from the edge of a cliff, with an initial speed of 185 m/s at an angle of 40.0° above the horizontal. The projectile rises and then falls into the sea next to the cliff. The height of the cliff measured from the sea level is h. The time of flight of the projectile until it hits the water is 40.0 s. Ignore air resistance. What is the height h of the cliff? What is the maximum height the projectile has reached (measured from the seal level)? What is the magnitude of the ball's velocity just before it hits the ground?
- In an article on the use of the sling as a weapon, the author states that a skilled slinger can sling a rock a distance of about 384 m. What is the minimum speed the rock must have when it leaves the sling to travel exactly 384 m? To solve this problem it will be necessary to first determine the required launch angle of the projectile. What launch angle must the projectile have in order to find the minimum speed required to achieve a given horizontal distance?A ball is thrown vertically upward with an initial speed of 88 ft/sec from the base A of a cliff with H = 60 ft. Determine the distance h by which the ball clears the top of the cliff and the time t after release for the ball to land at B. Also, calculate the magnitude of the impact velocity vg. Neglect air resistance and the small horizontal motion of the ball. Answers: h = i ft t = i sec VB = i ft/secA projectile is launched with an initial velocity 38 m/s and an angle from the horizontal of 45°. The acceleration due to gravity is 9.81 m/s². Assume the projectile is launched from the surface of the Earth. i.e., at y (0) = 0. then the altitude of the projectile as a function of time is: y(t) = gt² + vo sin(0)t Where vo is the initial velocity. What is the maximum altitude achieved by the projectile?
- A small rock is projected from the ground with the velocity with magnitude V0 and direction 53.1 degrees above the horizontal. A tall building is a horizontal distance of 26 m from where the rock was launched. The rock strikes the building 2 seconds after being launched. Neglect air resistance and assume the ground is level. At what vertical height above the ground does the rock the building?In the figure, a stone is projected at a cliff of height h with an initial speed of 49.0 m/s directed at an angle e0 = 53.0° above the horizontal. The stone strikes at A, 5.89 s after launching. Find (a) the height h of the cliff, (b) the speed of the stone just before impact at A, and (c) the maximum height H reached above the ground. (a) Number i Units (b) Number Units (c) Number UnitsIn the figure, you throw a ball toward a wall at speed 37.0 m/s and at angle 8 = 43.0° above the horizontal. The wall is distance d - 18.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? What are the (b) horizontal and (c) vertical components of its velocity as it hits the wall? Use g = 9.80 m/s². (a) Number (b) Number (c) Number Unit Unit Unit