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From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.00 m/s and angle of 20.0° below the horizontal. It strikes the ground 3.00 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? (b) With the positive x -direction chosen to be out the window, find the x - and y -components of the initial velocity. (c) Find the equations for the x - and y -components of the position as functions of time. (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. (f) How long does it take the ball to reach a point 10.0 m below the level of launching?
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- From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.70 m/s and angle of 21.0° below the horizontal. It strikes the ground 4.00 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: y0. Assume SI units. Do not substitute numerical values; use variables only.) xi = yi = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. vi, x = m/s vi, y = m/s (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y0 and t. Assume SI units.) x = m y = m (d) How far horizontally from the base of the building does the ball strike the ground? m (e) Find the height from which the ball was thrown. m (f) How long does…arrow_forwardA ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.10 m/s at an angle of 18.0° below the horizontal. It strikes the ground 5.00 s later. (a) How far horizontally from the base of the building does the ball strike the ground? m(b) Find the height from which the ball was thrown. m(c) How long does it take the ball to reach a point 10.0 m below the level of launching? sarrow_forwardProblem 3: Consider a projectile launched with an initially horizontal velocity of 19.7m from a cliff of height h=9.23m. It travels a horizontal distance, d, before striking the ground at an angle θ below the horizontal. Use the Cartesian coordinate system provided in the drawing with the origin at the base of the cliff. Assume that air resistance is negligible. Part (a) How much time elapses, in seconds, from the moment the projectile is launched until it strikes the ground? Part (b) What is the horizontal distance, in meters, traveled by the projectile? Part (c) What is the speed of the projectile, in meters per second, as it strikes the ground? Part (d) What is the impact angle, in degrees below the horizontal, at which the projectile strikes the ground?arrow_forward
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