A man stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v0 = 15.0 m/s. The rock
Posted: Thu Jul 14, 2022 8:07 pm
A man stands at the edge of a cliff and throws a rockhorizontally over the edge with a speed of v0 = 15.0 m/s. The rockleaves his hand at a height of h = 54.0 m above level ground at thebottom of the cliff, as shown in the figure. Note the coordinatesystem in the figure, where the origin is at the bottom of thecliff, directly below where the rock leaves the hand.
(a) What are the coordinates of the initial position of therock? (Enter your answers in m.) x0 = m y0 = m
(b) What are the components of the initial velocity? (Enter youranswers in m/s.) v0x = m/s v0y = m/s
(c) Write the equations for the x- and y-components of thevelocity of the rock with time. (Use the following as necessary: t.Assume that vx and vy are in m/s and t is in seconds. Do notinclude units in your answers.) vx = m/s vy = m/s
(d) Write the equations for the position of the rock with time,using the coordinates in the figure. (Use the following asnecessary: t. Assume that x and y are in meters and t is inseconds. Do not include units in your answers.) x = m y = m
(e) How long (in s) after being released does the rock strikethe ground below the cliff? s
(f) With what speed (in m/s) and angle of impact (in degreesclockwise from the +x-axis) does the rock land? vf = m/s 𝜃 = °clockwise from the +x-axis
A man stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v0=15.0 m/s. The rock leaves his hand at a height of h=54.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) x0=y0=∣mm (b) What are the components of the initial velocity? (Enter your answers in m/s.) v0x=v0y=m/sm/s (c) Write the equations for the x - and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that vx and vy are in m/s and t is in seconds. Do not include units in your answers.) vx=vy=m/sm/s
(a) What are the coordinates of the initial position of therock? (Enter your answers in m.) x0 = m y0 = m
(b) What are the components of the initial velocity? (Enter youranswers in m/s.) v0x = m/s v0y = m/s
(c) Write the equations for the x- and y-components of thevelocity of the rock with time. (Use the following as necessary: t.Assume that vx and vy are in m/s and t is in seconds. Do notinclude units in your answers.) vx = m/s vy = m/s
(d) Write the equations for the position of the rock with time,using the coordinates in the figure. (Use the following asnecessary: t. Assume that x and y are in meters and t is inseconds. Do not include units in your answers.) x = m y = m
(e) How long (in s) after being released does the rock strikethe ground below the cliff? s
(f) With what speed (in m/s) and angle of impact (in degreesclockwise from the +x-axis) does the rock land? vf = m/s 𝜃 = °clockwise from the +x-axis
A man stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v0=15.0 m/s. The rock leaves his hand at a height of h=54.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) x0=y0=∣mm (b) What are the components of the initial velocity? (Enter your answers in m/s.) v0x=v0y=m/sm/s (c) Write the equations for the x - and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that vx and vy are in m/s and t is in seconds. Do not include units in your answers.) vx=vy=m/sm/s