A projectile is launched from point A with the initial conditions shown in the figure. Determine the slant distances which locates the point B of impact. Calculate the time of flight t. th=124 m/s A 0=37⁰ Answers: S= t= i i 600 m. 15° 3 S B
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- A volcano shoots a lava bomb straight upward. Does the displacement of the lava bomb depend on (a) your choice of origin foryour coordinate system, or (b) your choice of a positive direction?Explain in each case.Find the horizontal and vertical components of the 100=m displacement of a superhero who files from the top of a tall building following the path shown in Figure P3.52.An athlete performing a long jump leaves the ground at a 31.8 ∘∘ angle and lands 7.65 mm away. What was the takeoff speed? Express your answer using three significant figures and include the appropriate units. If this speed were increased by just 4.0%, how much longer would the jump be? Express your answer using two significant figures and include the appropriate units.
- From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.30 m/s and angle of 25.0° below the horizontal. It strikes the ground 6.00 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/svi, 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 = my = 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 it take the ball…The projectile at A is projected with an initial velocity v=23 m/s and an angle of projection theta degrees to hit target B. The following is required when theta+beta=90 and beta=6 degrees. a) Determine the distance R b) Determine the time of flight from A to B c) Determine the magnitude and the direction of the velocity at B e) Determine the maximum height the projection reached relative to point B f) if the object is given a constant horizontal acceleration in addition to its gravitational acceleration write down its horizontal equations of motionsAn athlete performing a long jump leaves the ground at a 31.8 ∘∘ angle and lands 7.65 mm away. What was the takeoff speed? Express your answer using three significant figures and include the appropriate units.
- What kinematic equation/s would you use to help calculate the range of a projectile launched horizontally, and what variables from these equations must you know to accurately calculate range?Referring to the adjacent figure, suppose vf = 7 m/s and θf = 10°. Calculate the horizontal and vertical components of the velocity vector.From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 9.50 m/s and angle of 15.0° below the horizontal. It strikes the ground 6.00 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…
- From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 7.50 m/s and angle of 18.0° below the horizontal. It strikes the ground 5.00 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 = (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 = y = (f) How long does it take the ball to reach a point 10.0 m below the level of launching?From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.80 m/s and angle of 16.0° 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 =An athlete performing a long jump leaves the ground at a 27.8 ∘∘ angle and lands 7.63 mm away. What was the takeoff speed? answer using three significant figures and include the appropriate units. If this speed were increased by just 5.0%, how much longer would the jump be? answer using two significant figures and include the appropriate units.