A cannon, located 60.0 m from the base of a vertical 25.0 mtall cliff, shoots a 15kg shell at 43.0 degrees above the horizontal toward the cliff. (a) What must the minimum muzzle velocity be for the shell to clear the top of the cliff? (b) The ground at the top of the cliff is level, with a constant elevation of 25.0 m above the cannon. Under the conditions of part (a), how far does the shell land past the edge of the cliff?
 👍
 👎
 👁
 ℹ️
 🚩
1 answer

muzzle velocity = s
U = horizontal speed = s cos 43 forever = .731 s
time to cliff = T = 60/u = 60/(.731 s) = 82.1 /s
h = s sin 43 * t  9.81/2 t^2
when t = T, h = 25
25 = s sin 43 (82.1/s)  4.9 (82.1^2/s^2)
25 = 56  33028/s^2
33028 / s^2 = 31
s^2 = 1065
s = 32.6 meters/s
Now find the second time it reaches h = 25
h = s sin 43 * t  9.81/2 t^2
25 = 32.6 sin 43 t  4.9 t^2
4.9 t^2  22.2 t + 25 = 0
solve quadratic for the first and second t. The second t is when it lands back on the cliff. 👍
 👎
 ℹ️
 🚩
Answer this Question
Related Questions

Physics
A grasshopper leaps into the air from the edge of a cliff at a 50 degree angle. He reaches a maximum height 6.74 cm above the top of the cliff and travels a total horizontal distance of 1.06 m. How tall is the cliff and what is the initial speed of the

physics
Two stones are thrown simultaneously, one straight upward from the base of a cliff and the other straight downward from the top of the cliff. The height of the cliff is 5.97 m. The stones are thrown with the same speed of 8.50 m/s. Find the location (above

precalc
analyzing the motion of a projectile: a projectile is fired from a cliff 200 feet above the water at an inclination of 45 degrees, with a muzzle velocity of 50 feet per second. the height of the projectile above the water is given by h(x)= 0.0128x^2+x+200

physics
A cannonball is fired horizontally from the top of a cliff. The cannon is at height = 70.0 above ground level, and the ball is fired with initial horizontal speed . Assume acceleration due to gravity to be = 9.80 .

physics
As a hiker in Glacier National Park, you are looking for a way to keep the bears from getting at your supply of food. You find a campground that is near an outcropping of ice from one of the glaciers. Part of the ice outcropping forms a 55.5° slope up to

Physics
A projectile of mass 0.413 kg is shot from a cannon, at height 6.8 m, with an initial velocity vi having a horizontal component of 7.5m/s. The projectile rises to a maximum height of ∆y above the end of the cannon’s barrel and strikes the ground a

physics
A football is thrown from the edge of a cliff from a height of 22 m at a velocity of 18 m/s [39degrees above the horizontal]. A player at the bottom of the cliff is 12 m away from the base of the cliff and runs at a maximum speed of 6.0 m/s to catch the

Physics ?#2
A ball is dropped from the top of a 53.0m high cliff. At the same time, a carefully aimed stone is thrown straight up from the bottom of the cliff with a speed of 25.0m/s The stone and ball collide part way up. How far above the base of the cliff does this

Physics 11th grade 2
1) A 20 kg rock is on the edge of a 100 m cliff. a. What potential energy does the rock possess relative to the base of the cliff? b. The rock falls from the cliff. What is the kinetic energy just before it strikes the ground? c. What speed does the rock

physics
A ball is thrown horizontally of a cliff. If the initial speed of the ball is 24.0 m/s and the cliff is 124.0 m high, how far from the base of the cliff will the ball land in the water below? Calculate the answer in meters (m) and rounded to three

Physics
A person kicks a rock off a cliff horizontally with a speed of 20.0 m/s. It takes 7.0 seconds to hit the ground, find: a. height of the cliff b. final vertical velocity c. horizontal range

pysics
A projectile of mass 0.777 kg is shot from a cannon, at height 6.6 m, as shown in the ﬁgure, with an initial velocity vi having a horizontal component of 7.8m/s. The projectile rises to a maximum height of ∆y above the end of the cannon’s barrel and

physics
A cannon shoots a bullet from the roof of a building from the position (in SI units): r i j k o = 9 + 4 +15 and with initial velocity (SI units): v i j k o =13 + 22.5 +15 where the zaxis points upward in the vertical

Physics
HOW DO I DO THIS? A daredevil is shot out of a cannon at 45.0° to the horizontal with an initial speed of 28.0 m/s. A net is positioned a horizontal distance of 51.0 m from the cannon. At what height above the cannon should the net be placed in order to

physics
A cannon on a railroad car is facing in a direction parallel to the tracks (the figure below ). It fires a 99kg shell at a speed of 105 m/s (relative to the ground) at an angle of 60 above the horizontal. If the cannon plus car have a mass of 4.6 104 kg,

Math
1. A rangers tower is located 44m from a tall tree. From the top of the tower, the angle of elevation to the top of the tree is 28 degrees and the angle of depression to the base is 36 degrees. How tall is the tree? 2. An engineer determines that the angle

math
from a boat, the angle of elevation of the foot of a lighthouse on the edge of a cliff is 34 degrees. if the cliff is 150m high, how far from the base of the cliff is the boat

Physics
which of the following is NOT true about the path of a cannon ball launched horizontally from the earth's surface if air resistance is neglected? a. the cannnonball has a uniform horizontal velocity b.the total velocity of the cannon ball increases as a

physics
A diver running 1.6 m/s dives out horizontally from the edge of a vertical cliff and 3.5 s later reaches the water below.How high was the cliff?How far from its base did the diver hit the water?

Physics
a) A cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 100 m above ground level, and the ball is fired with initial horizontal speed v_0. Assume acceleration due to gravity to be g = 9.80 m/s^2. Assume that the cannon is
Still need help?
You can ask a new question or browse existing questions.