A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v0 = 17.5 m/s. The rock leaves his hand at a height of h = 45.0 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= m y0= m   (b) What are the components of the initial velocity? (Enter your answers in m/s.) v0x= m/s v0y= m/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=17.5m/s vy=−9.8t m/s   (d) Write the equations for the position of the rock with time, using the coordinates in the figure. (Use the following as necessary: t. Assume that x and y are in meters and t is in seconds. Do not include units in your answers.) x= m y=  m   (e) How long (in s) after being released does the rock strike the ground below the cliff?  s   With what speed (in m/s) and angle of impact (in degrees clockwise from the +x-axis) does the rock land? vf=  m/s ?= ° clockwise from the +x-axis

In the figure here, a ball is thrown up onto a roof, landing 5.00 s later at height h = 22.0 m above the release level. The ball's path just before landing is angled at 0 = 65.0° with the roof. (a) Find the horizontal distance d it travels. (Hint: One way is to reverse the motion, as if it is on a video.) What are the (b) magnitude and (c) angle (relative to the horizontal) of the ball's initial velocity? 0000 (a) Number (b) Number (c) Number Unit Unit Unit <

Consider a projectile launched with an initial velocity of 25.2m/s at an angle of θ0=30.9∘ above horizontal from level ground. After traveling a horizontal distance d=37.1m, it strikes a high cliff at a height hh above the original launch height. The impact angle, θ, may be above or below horizontal, depending upon whether or not the projectile has passed the apex of its flight. Use the Cartesian coordinate system provided in the drawing with the origin at the initial position of the projectile. 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 cliff?   Part (b)  At what height above the initial position, in meters, does the projectile strike the cliff?   Part (c)  What is the speed of the projectile, in meters per second, as it strikes the cliff?   Part (d)  What is the impact angle, in degrees measured counterclockwise from positive xxx, at which the projectile strikes the cliff?…

You want to know the height of a cliff so you throw a rock off the edge with an initial speed of 24.7 m/s inclined at an angle 31.2° above the horizontal. You have a friend that records that it takes 4.6 s for the rock to hit the bottom of the canyon after it is thrown. For the following questions, call up the positive y direction and make the positive x direction horizontal and towards the direction the rock is thrown. If you ignore air resistance, what is the y component of the velocity of the rock right before it hits the ground?