How high is a building if it takes 9 seconds for an object to hit the floor? Pretend the object was dropped from the rooftop and a man was holding the ball at a height of 1 meter before letting it go. A bomb is dropped from a plane 300m above ground. Ignoring the air resistance, calculate the (a) time that it takes before hitting the ground, (b) velocity of the impact.
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- An airplane flies horizontally at a speed of 477 km/h and drops a crate that falls to the horizontal ground below. Neglect air resistance. A) If the altitude of the plane was 576 m, then how far, horizontally in meters, did the crate move as it fell to the ground? B) What was the speed of the crate, in m/s, just before it hit the ground?If it takes 3s for a ball to strike the ground when it is released from rest, determine the height in meters of the building from which it was released. Also, what is the velocity of the ball when it strikes the ground?During the siege of Constantinople that led to its conquest by the Ottomans in 1453, the Hungarian engineer Orban built a set of bombards (primitive cannon) to throw enormous stones at the city to breach its walls. The largest of these could throw a 300 kg stone a distance x = 2 km. Assume that the stone was launched at an angle of 0 = 45 degrees above the horizontal; in the absence of air resistance, this gives the largest range. a) What speed did the stone have to be launched at to achieve this range? b) How long was the ball in the air? c) How fast was the ball traveling at the apex of its flight?
- A projectile is launched vertically upward with initial velocity vo. Assume that the resistance of air is proportional to the square of the velocity. Calculate the maximum height it reaches and the velocity of the projectile when it hits the ground on its return. Ymáx = in (1 + ), kví v = vove//v3 + v Ve = /mg/c Утӑх 2k Ans.A projectile launcher is clamped to a bench with the muzzle 0.85 m from the floor. It launches a small ball at an angle of 35° with a velocity of 15.5 m/s. The ball travels freely until it eventually hits the floor, assuming no air resistance or draughts calculate the following: a) The time it takes to reach its maximum height. b) The maximum height of the ball above the floor. c) The total time the ball spent in the air d) The total distance travelled horizontally by the ball from the end of the muzzle to its first impact with the floor.A person tosses a ball for her puppy to retrieve. The ball leaves herhand horizontally with a speed of 4.6 m>s. If the initial height ofthe ball is 0.95 m above the ground, how far does it travel in thehorizontal direction before landing?
- A toy rocket moving vertically upward passes by a 1.8 m -high window whose sill is 7.0 m above the ground. The rocket takes 0.16 s to travel the 1.8 m height of the window. a) What was the launch speed of the rocket? Assume the propellant is burned very quickly at blastoff. b) How high will the rocket go?A tennis player serves a tennis ball such that it is moving horizontally when it leaves the racquet. When the ball travels a horizontal distance of 19 m, it has dropped 49 cm from its original height when it left the racquet. What was the initial speed, in m/s, of the tennis ball? (Neglect air resistance.)While you are on lookout duty at your fortress, you spot an enemy ship moving directly towards you with a constant speed of 15 m/s. At the moment when the ship is 1.5 km away, you fire a shell at an angle of 45 degrees above the horizontal, which hits the enemy ship. What was the initial speed of the shell to 2 sig figs?
- In 1939 or 1940, Emanuel Zacchini took his human cannonball act to an extreme: After belng shot froma cannon, he soared over three Ferris wheels and into a net (see the figure). Assume that he is launched with a speed of 26 m/s and at an angle of 58° (a) Treating him as a particle, calculate his clearance over the first wheel. (b) If he reached maximum height over the middle wheel, by how much did he clear it? (c) How far from the cannon should the net's center have been positioned (neglect air drag)? -26 15m 3.5m e,- 58 3.5m Net 20m- In 1939 or 1940, Emanuel Zacchini took his human- cannonball act to an extreme: After being shot from a cannon, he soared over three Ferris wheels and into a net (see the figure). Assume that he is launched with a speed of 26 m/s and at an angle of 58°. (a) Treating him as a particle, calculate his clearance over the first wheel. (b) If he reached maximum height over the middle wheel, by how much did he clear it? (c) How far from the cannon should the…The cannon on a battleship can fire a shell a maximum distance of 32.0 km. Calculate the initial speed of the shell in meters per second. Neglect air resistance to make the problem easier.A toy rocket moving vertically upward passes by a 1.8 m-high window whose sill is 7.0 mm above the ground. The rocket takes 0.16 ss to travel the 1.8 mm height of the window. a) What was the launch speed of the rocket? Assume the propellant is burned very quickly at blastoff. b) How high will the rocket go?