A student stands at the edge of a cliff and throws a stonehorizontally over the edge with a speed of vi = 18.2 m/s. The cliffis h = 49.5 m above a body of water as shown in the figurebelow.
(a) What are the coordinates of the initial position of the stone?(Do not assume that the student is the point of origin.)
(b) What are the components of the initial velocity of thestone?
(c) What is the appropriate analysis model for the vertical motionof the stone? (Select all that apply.)
5
constant velocity motion free fall motion g = 9.8 m/s2 noacceleration from gravity g = -9.8 m/s2
(d) What is the appropriate analysis model for the horizontalmotion of the stone? (Select all that apply.)
6
constant velocity in the horizontal direction g = 9.8 m/s2 g = -9.8m/s2 free fall motion no acceleration from gravity
(e) Write symbolic equations for the x and y components of thevelocity of the stone as a function of time. (Use the following asnecessary: vix, g, and t.)
(f) Write symbolic equations for the position of the stone as afunction of time. (Use the following as necessary: vix, g andt.)
(g) How long after being released does the stone strike the waterbelow the cliff?
(h) With what speed and angle of impact does the stone land?
A student stands at the edge of a cliff and throws a stonehorizontally over the edge with a speed of vi = 18.2 m/s. The cliffis h = 49.5 m above a body of water as shown in the figurebelow.
(a) What are the coordinates of the initial position of the stone?(Do not assume that the student is the point of origin.)
(b) What are the components of the initial velocity of thestone?
(c) What is the appropriate analysis model for the vertical motionof the stone? (Select all that apply.)
5
constant velocity motion free fall motion g = 9.8 m/s2 noacceleration from gravity g = -9.8 m/s2
(d) What is the appropriate analysis model for the horizontalmotion of the stone? (Select all that apply.)
6
constant velocity in the horizontal direction g = 9.8 m/s2 g = -9.8m/s2 free fall motion no acceleration from gravity
(e) Write symbolic equations for the x and y components of thevelocity of the stone as a function of time. (Use the following asnecessary: vix, g, and t.)
(f) Write symbolic equations for the position of the stone as afunction of time. (Use the following as necessary: vix, g andt.)
(g) How long after being released does the stone strike the waterbelow the cliff?
(h) With what speed and angle of impact does the stone land?
