Problem 1: A student throws a water balloon at an initial angle 0= 32° above the horizontal with initial speed vo from a height h=1.52 m. The target is located on the ground a horizontal distance d= 7.5 m from the student's feet. Assume that the balloon moves without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position. y Vo d.

Hannah fires a potato from a cannon at the top of a 60.0 m high cliff with a velocity of 25 m/s [53° above horizontal]. a. Find the maximum height it can reach above the ground. b. Find the impact velocity.

An archer fish spies a meal of a grasshopper sitting on a long stalk of grass at the edge of the pond in which he is swimming. The fish is to successfully spit at and strike the grasshopper, which is 0.200 m away horizontally and 0.745 m above his mouth.   a. What is the minimum speed at which the archer fish must spit? answer in m/s b. What angle (in degrees) above the horizontal must he spit? answer in degrees

43.0 m above level ground at the bottom 17.5 m/s. The rock leaves his hand at a height of h A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of vo 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. х (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) %3D Уo 3 (b) What are the components of the initial velocity? (Enter your answers in m/s.) m/s Vox m/s Voy %D х (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 v, and v, are in m/s and t is in seconds. Do not include units in your answers.) m/s Vx %D m/s V. II

A daredevil is shot out of a cannon at 45.0° to the horizontal with an initial speed of 28.5 m/s. A net is positioned a horizontal distance of 52.5 m from the cannon. At what height above the cannon should the net be placed in order to catch the daredevil? m

A secret agent skis off a slope inclined at θ = 28.3 degrees below horizontal at a speed of v0 = 17.4 m/s. He must clear a gorge, and the slope on the other side of the gorge is h = 11.9 m below the edge of the upper slope. a.)What is the maximum width, w, of the gorge (in meters) so that the agent clears it?

13. A soccer player kicks a = 1.0 m higher than it was struck. If Vo, the initial velocity of the ball is 10 m/s and the angle Oo in degrees above the horizontal at which the ball left the foot is 36.9°, what is the velocity vector V£ of the ball at which it hits the height h? Use sin (36.9) = 0.6, cos (36.9) 0.8, and g flies and lands h soccer ball and the ball 10 m/s². (8 i - 4 j ) m/s (6 i + 4 j) m/s 8 i m/s A. C. B. -5 j m/s (2 i - 6 j) m/s D. E.

I throw a ball to my dog at h = 1.8 m above the ground, with initial velocity v0 = 10.25 m/s at an angle θ = 31° above horizontal. Assume the ballencounters no air resistance, and use a Cartesian coordinate system with the origin located at the ball's initial position.a. My dog jumps up in the air and catches the ball at the same height that Ithrew it. Create an expression for the time, tf, the ball is in the air in terms of v0, θ, g, and h. b. Calculate the horizontal distance, d in meters, between me and my dog

A person swings from a trapeze, projects herself at angle of 53 degrees, and is supposed to be caught by person B, whose hands are 6.1m above and 8.2m horizontally from persob A's launch point.  a. What initial speed must Person A have just to reach person B? b. If person B misses person A completely as she flies past, how far horizontally does person A travel, from her initial launch point, before landing in the safety net 8.6m below her starting point? PROVIDE ILLISTRATION

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