Some cats can be trained to jump from one location to another and perform other tricks. Kit the cat is going to jump through a hoop. He begins on a wicker cabinet at a height of 1.769 m above the floor and jumps through the center of a vertical hoop, reaching a peak height 3.135 m above the floor. (Assume the center of the hoop is at the peak height of the jump. Assume that +x axis is in the direction of the hoop from the cabinet and +y axis is up. Assume g = 9.81 m/s².) (a) With what initial velocity did Kit leave the cabinet if the hoop is at a horizontal distance of 1.570 m from the cabinet? (Express your answer in vector form. Give your answer to at least two decimal places for each vector component.) Vo m/s (b) If Kit lands on a bed at a horizontal distance of 3.584 m from the cabinet, how high above the ground is the bed? m Need Help? Read It

The 1994 Winter Olympics included the aerials competition in skiing. In this event skiers speed down a ramp that slopes sharply upward at the end. The sharp upward slope launches them into the air, where they perform acrobatic maneuvers. In the women's competition, the end of a typical launch ramp is directed 59° above the horizontal. With this launch angle, a skier attains a height of 14 m above the end of the ramp. What is the skier's launch speed?

Can you provide solutions and explanations for this problem? and provide a graph or illustration as well? A Ferris wheel is elevated 1 m above ground. When a car reaches the highest point on the Ferris wheel, its altitude from ground level is 31 m. How far away from the center, horizontally, is the car when it is at an altitude of 25 m?

Problem 2: In baseball the pitcher will throw baseballs horizontally and to account for gravity, the pitcher will stand upon a raised mound. Take the pitcher's release point to be 1.2m above the ground and they will hit a spot 0.7m above the ground at a distance 20m away. a) Draw ST vs t, sy VS t, Uz VS t,, Vy vs t, a vs t,, and ay vs t, graphs of the baseball's motion b) from Kinematic Equations on the first page Prove that the velocity needed is = 9(Asz)² V24sy symbolically by starting c) If the pitcher was playing on Mars (g = 3.7m/s, negligible air resistance) how fast would they have to pitch?

A diver jumps off a cliff of height h at an angle θ = 260 (see figure). He reaches a maximum height of h subscript m a x end subscript= 20 m above the top of the cliff before falling to the water below. He hits the water x=295 m from the base of the cliff. Determine the height of the cliff, h. Take g=10m/s2 . Round your answer to one decimal place.

A Sledding Contest. You are in a sledding contest where you start at a height of 45.0 m above the bottom of a valley and slide down a hill that makes an angle of 25.0° with respect to the horizontal. When you reach the valley, you immediately climb a second hill that makes an angle of 15.0° with respect to the horizontal. The winner of the contest will be the contestant who travels the greatest distance up the second hill. You must now choose between using your flat-bottomed plastic sled, or your "Blade Runner," which glides on two steel rails. The hill you will ride down is covered with loose snow. However, the hill you will climb on the other side is a popular sledding hill, and is packed hard and is slick. The two sleds perform very differently on the two surfaces, the plastic one performing better on loose snow, and the Blade Runner doing better on hard-packed snow or ice. The performances of each sled can be quantified in terms of their respective coefficients of kinetic friction…

b) I(1, 0, 0), J(0, 1, 0), and K(0, 0, 1) 6, A helicopter takes off at a ground velocity of 150 km/h. It climbs at an angle of 48° toward the east. A 17-km/h wind is blowing from the south. Determine the resultant air and ground velocities. Include a diagram in your solution. The Eiffel Tower is 324 m tall. Denise is

An engineer designs a roller coaster so that a car travels horizontally for 192 ft, then climbs 147 ft at an angle of 33.00 above the horizontal. It then moves 147 ft at an angle of 42.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude The magnitude of the displacement is the length of the vector which goes from the starting point to the ending point. You will need to measure this distance, and multiply by your scale factor. ft direction ° counterclockwise from the +x-axis

1. The eye of a hurricane passes over Grand Bahama Island in a direction 30.0° north of west with a speed of 42.0 km/h. The hurricane goes this direction for three hours. Then the course of the hurricane suddenly shifts due north. From this point, its speed is 27.0 km/h for two more hours. Convert the velocity vectors to position vectors. Write the position vectors as a magnitude and angle. (remember to measure the angles from the positive x axis) a. b. Assuming Grand Bahama Island is at (0,0), draw a sketch of the two position vectors representing the path of the hurricane. and that east is the positive x axis. Remember that North is the positive y axis с. Determine the components of each of the two position vectors. d. Add the two vectors to determine the resultant position vector. e. What is the distance from Grand Bahama Island to the final position of the hurricane?

A velocity vector has x-component vx = 6.3 m/s and y-component vy = - 2.5 m/s. What is the total magnitude of the velocity? O 3.8 m/s 6.7 m/s 5.8 m/s 8.8 m/s