Mt. Asama, Japan, is an active volcano. In 2009, an eruption threw solid volcanic rocks that landed 1 km horizontally from the crater. If the volcanic rocks were launched at an angle of 40° with respect to the horizontal and landed 900 m below the crater, (a) what would be their initial velocity and (b) what is their time of flight?

A fly ball is hit to the outfield during a baseball game. Let's neglect the effects of air resistance on the ball. The motion of the ball is animated in the simulation (linked below). The animation assumes that the ball's initial location on the y axis is yo = 1 m, and the ball's initial velocity has components v0x = 20 m/s and voy = 20 m/s. Calculate the horizontal distance the baseball travels before landing on the ground at y = 0. (Write only the numerical value rounded to a whole number and exclude the unit) Blank 1 Blank 1 Add your answer

Ignoring air resistance, a helicopter is flying with a velocity of 90 m/s at an angle of 23 degrees above the horizontal. When the helicopter is 114 m directly above a dog that is standing on level ground, they dropped a crate. How far from the dog will the crate land?

Mt. Asama, Japan, is an active volcano. In 2009, an eruption threw solid volcanic rocks that landed 1 km horizontally from the crater. If the volcanic rocks were launched at an angle of 44° with respect to the horizontal and landed 905 m below the crater, find the following. (a)their initial velocity (Enter the magnitude in m/s.) (b)their time of flight (in s)

A batter hits a fly ball with an initial velocity of 37 m/s at an angle of 32° from the horizontal. How much time does the outfielder have to get to the appropriate position to catch the ball?

A projectile is thrown from the top of a cliff with an initial speed of 25 m/s at an angle of 600 up from the horizontal. If the projectile lands 100 m from the base of the cliff how tall is the cliff?

A father demonstrates projectile motion to his children by placing a pea on his fork's handle and rapidly depressing the curved tines, launching the pea to heights above the dining room table. Suppose the pea is launched at 7.39 m/s at an angle of 73.0° above the table. With what speed (in m/s) does the pea strike the ceiling 2.10 m above the table? HINT Use the kinematic equations to find the x- and y-components of the pea's velocity when it hits the celing. Then use the Pythagorean theorem to find the speed. Click the hint button again to remove this hint. m/s

During volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. The figure shows a cross section of Mt. Fuji, in Japan. (a) At what initial speed would a bomb have to be ejected, at angle 0 d = 10.0 km? Ignore, for the moment, the effects of air on the bomb's travel. (b) What would be the time of flight? 32° to the horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distance h = 3.40 km and horizontal distance (a) Number Units (b) Number Units

A placekicker kicks a football at an angle of 23.0 degrees with respect to horizontal and the initial speed of the ball is 32.0 m/s. Ignore air resistance. During its trajectory, i.e. during the time right after the football is kicked and just before it hits the ground downfield, what are its maximum and minimum speeds?

A rock is thrown horizontally with a speed of 18 m/s from a vertical cliff of height 31 m. (a) How long does it take to reach the horizontal ground below? S (b) How far will it land from the base of the cliff? m (c) What is the velocity (magnitude and direction counterclockwise from the +x-axis, which is the initial horizontal direction in which the rock was thrown) of the rock just before it hits the ground? Magnitude m/s Direction O