A rock is thrown from the top of a cliff (at y = H = 26.3 m) with a speed of 27.8 m/s at an angle = 15.6Ac—¦ above the horizontal. The rock lands at y = 0 at a distance x = D from the edge of the cliff. (a) At what time does it land (b) Determine D.
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A rock is thrown from the top of a cliff (at y = H = 26.3 m) with a speed of 27.8 m/s at an angle = 15.6Ac—¦ above the horizontal. The rock lands at y = 0 at a distance x = D from the edge of the cliff. (a) At what time does it land (b) Determine D.

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- A cannonball is launched from the top of a flat mountainside, which slopes upwards at35 degrees with respect to the horizontal. The cannonball exits the cannon moving at150 m/s, at an angle of 55 degrees with respect to the horizontal.a) How much time (in seconds) elapses between the moment the cannonball isfired and the moment it lands on the mountainside.b) How far down the mountainside (in meters) does the cannonball land?jected at a cliff of height h with an initial speed of 42.0 m/s directed at angle 6=60.0° above the horizontal. The stone strikes at A, 5.50 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.= 17.5 m/s. The cliff is h = 32.0 m above a flat, horizontal beach as shown in the figure. A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of х (a) What are the coordinates of the initial position of the stone? Xo = Уо- (b) What are the components of the initial velocity? Vox = m/s m/s Vov= (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.) х3 (e) How long after being released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does the stone land? m/s Ve= • below the horizontal Ө-
- 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 UnitsA puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0s, the x components of the puck's initial velocity and acceleration are vox = +7.2 m/s and ax = +1.1 m/s². They components of the puck's initial velocity and acceleration are Voy=+3.6 m/s and ay = -1.5 m/s². Find (a) the magnitude v and (b) the direction of the puck's velocity at a time of t = 0.50 s. Specify the direction relative to the +x axis. (a) v = i (b) 0= degrees the +x axisChinook salmon can cover more distance in less time by periodically making jumps out of the water. Suppose a salmon swimming in still water jumps out of the water with velocity 6.03 m/s at 40.6° above the horizontal, re-enters the water a distance L upstream, and then swims the same distance L underwater in a straight, horizontal line with velocity 2.92 m/s before jumping out again. Where L=3.67 m; t1= 0.801 sec this is a time when fish are over the water; t2= 1.256 sec; Ttotal =2.057 sec; the average horizontal velocity is 3.57 m/s. Consider the interval of time necessary to travel 2L. How is this reduced by the combination of jumping and swimming compared with just swimming at the constant speed of 2.92 m/s? Express the reduction as a percentage.
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