A stone is thrown from the top edge of a building with an initial speed of 12.2 m / s and an angle of 53 ° above the horizontal. The Stone falls to the ground at a horizontal distance of 25 m from the base of the building. Assuming the floor is flat and the wall of the building vertical, determine the height of the building.
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A stone is thrown from the top edge of a building with an initial speed of 12.2 m / s and an angle of 53 ° above the horizontal. The Stone falls to the ground at a horizontal distance of 25 m from the base of the building. Assuming the floor is flat and the wall of the building vertical, determine the height of the building.
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- In 2.10 h, a balloon drifts 16.9 km north, 5.16 km east, and 3.23 km upward from its release point on the ground. Find (a) the magnitude of its average velocity and (b) the angle its average velocity makes with the horizontal. (a) Number 8.55 (b) Number 79.63 Units Units km/h *(degrees)A playground is on the flat roof of a city school, h, = 6.70 m above the street below (see figure). The vertical wall of the building is h = 7.90 m high, to form a 1.2-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of 0 = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (a) Find the speed at which the ball was launched. 18.0 V m/s (b) Find the vertical distance by which the ball clears the wall. 0.32 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m (c) Find the horizontal distance from the wall to the point on the roof where the ball lands. 2.14 Your response differs from the correct answer by more than 10%. Double check your calculations. mDuring a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial speed v0 = 45 m/s at an angle θ = 41° above horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Air resistance may be ignored throughout this problem. Express the magnitude of the balls initial horizontal velocity vox in terms of vo and theta Find the ball's maximum vertical height Hmax in meters above the ground Express the magnitude of the balls initial vertical velocity voy in terms of Vo and theta
- A daredevil is shot out of a cannon at 45.0° to the horizontal with an initial speed of 24.0 m/s. A net is positioned a horizontal distance of 49.5 m from the cannon. At what height above the cannon should the net be placed in order to catch the daredevil?Dock diving is a great form of athletic competition for dogs of all shapes and sizes. Sheba, the American Pit Bull Terrier, runs and jumps off the dock with an initial speed of 9.52 m/s at an angle of 28° with respect to the surface of the water. (Assume that the +x axis is in the direction of the run and the y axis is up.) (a) If Sheba begins at a height of 0.83 m above the surface of the water, through what horizontal distance does she travel before hitting the surface of the water? m (b) Write an expression for the velocity of Sheba, in component form, the instant before she hits the water. (Express your answer in vector form.) V = m/s (c) Determine the peak height above the water reached by Sheba during her jump. m Need Help? Read ItSome 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 1.722 m above the floor and jumps through the center of a vertical hoop, reaching a peak height 3.130 m above the floor. (Assume the center of the hoop is at the peak height of the jump. Assume that +xaxis 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 1.550 m from the cabinet? (Express your answer in vector form. Give your answer to at least two decimal places for each vector component.) v0 =?m/s (b) If Kit lands on a bed at a horizontal distance of 3.580 m from the cabinet, how high above the ground is the bed?In m
- A playground is on the flat roof of a city school, h = 5.90 m above the street below (see figure). The vertical wall of the building is h = 7.20 m high, to form a 1.3-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of 0 = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (a) Find the speed at which the ball was launched. m/s (b) Find the vertical distance by which the ball clears the wall. m (c) Find the horizontal distance from the wall to the point on the roof where the ball lands. mThe trajectory of a rock ejected from the Kilauea volcano, with a velocity of magnitude 63.9 m/s and at angle 12.1 degrees above the horizontal. The rock strikes the side of the volcano at an altitude of 90.6m lower than its starting point. Calculate the magnitude of the rock’s velocity at impact? Use g = 9.8 m/s2.A medieval city has the shape of a square and is protected by walls with length 500 m and height 15 m. You are the commander of an attacking army and the closest you can get to the wall is 100 m. Your plan is to set fire to the city by catapulting heated rocks over the wall (with an initial speed of 80 m/s ). At what range of angles should you tell your men to set the catapult? (Assume the path of the rocks is perpendicular to the wall.)
- A playground is on the flat roof of a city school, h, - 6.30 m above the street below (see figure). The vertical wall of the building is h= 7.50 m high, to form a 1.2-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of e = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (a) Find the speed at which the ball was launched. m/s (b) Find the vertical distance by which the ball clears the wall. (c) Find the horizontal distance from the wall to the point on the roof where the ball lands.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?A truck loaded with cannonball watermelons stops suddenly to avoid running over the edge of a washed-out bridge. The quick stop causes a number of melons to fly off the truck. One melons leaves the hood of the truck with an initial speed Vi=10.0m/s in the horizontal direction. A cross section of the bank has the shape of the bottom half of a parabola, with its vertex at the initial location of the projected watermelon and with the equation y2=16x, where x and y are measured in metres. What are the x and y coordinates of the melon when it splatters on the bank