A fireworks show is choreographed to have two shells cross paths at a height of 138 feet and explode at an apex of 175 feet under normal weather conditions. The shells have a launch angle = 61° above the horizontal. If a strong wind induces a constant rightward acceleration of 16 ft/sec² for the fireworks shells, determine the horizontal shift Ax of the crossing point of the shells.
Q: During a heated game of bocce ball, Ursula is attempting to knock the pallino (the small, white…
A: Given Data: The horizontal distance x=17 m Launch angle θ=23° The initial height from the ball is…
Q: A weather station releases a balloon whose buoyancy accelerates it at 15 m/s². At the same time, a…
A:
Q: A stone is thrown horizontally from the highest point of a 95 m building and lands 115 m from the…
A:
Q: A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal.…
A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…
Q: A projectile is fired from the top of a cliff of height h above the ocean below. The projectile is…
A: (a) To find the time at which the projectile reaches its maximum height, we can use the fact that…
Q: Problem 12: Mt. Asama, Japan, is an active volcano complex. In 2009, an eruption threw solid…
A:
Q: From the top of a cliff, a person throws two stones. The cliff is 20.9 m high. The two stones have…
A: Calculate the horizontal and vertical component of the initial velocity. uH=(19.8…
Q: A squirrel is launched due west from a height of 10 meters with an initial velocity of 80 meters per…
A: We will first write everything in vector form. Squirrel initial position: (0i^+0 j^+10k^) Velocity…
Q: - Your answer is partially correct. Noninertial frame projectile. A device shoots a small ball…
A: The objective of the question is to find the acceleration of the elevator when the ball lands at…
Q: In a computer game, an airplane starts at (1 00,4:00) (in cm) on the curve y = 3,00 x-1.50 and moves…
A:
Q: An airplane with a speed of 80.6 m/s is climbing upward at an angle of 31.5° with respect to the…
A: The given speed of the plane is 80.6 m/s and the angle of climbing is u = 31.5o The height of…
Q: A ball is tossed horizontally from the highest point of a 75 m building and lands 150 m from the…
A: The objective of the question is to find the initial horizontal component of the velocity of the…
Q: 1. The eye of a hurricane passes over Grand Bahama Island in a direction 30.0° north of west with a…
A:
Q: You are designing a missile defense system that will shoot down incoming missiles that pass over a…
A: Given:- An incoming missile passes directly above the defense base. Radar at the base can measure…
Q: Miltiadis Tentoglou is the current Olympic gold medalist for the running long jump. In one of…
A:
Q: A ball is launched from the ground with an initial velocity v-18.1 m/s at an angle of 39.5° above…
A:
Q: A horizontal rifle is fired at a bull's-eye. The muzzle speed of the bullet is 650 m/s. The gun is…
A:
Q: Part (a) Calculate the horizontal position of the mouse when it has fallen 10.5 m, assuming the nest…
A:
Q: Problem 1: The baseball player A hits the baseball at VA = 40 ft/s and 0A = 60° from the horizontal.…
A:
Q: Problem 6: An arrow is shot from a height of 1.95 m toward a cliff of height H. It is shot with a…
A:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- The drawing shows an exaggerated view of a rifle that has been 'sighted in' for a 91.4-meter target. If the muzzle speed of the bullet is Vo = 309 m/s, there are the two possible angles 0₁ and 02 between the rifle barrel and the horizontal such that the bullet will hit the target. One of these angles is so large that it is never used in target shooting. Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identity may be useful: 2 sine cose = sin 20.) (a) Number (b) Number Units Units 91.4 m OA baseball is thrown at an angle θ = 22° above the horizontal with an initial vertical velocity v0y = 13.5 m/s. Use a Cartesian coordinate system with the origin at the baseball's initial position. Calculate the initial horizontal velocity component, v0x in m/s.A bullet is fired from ground level at 264 m/s and at an angle of 30.0°. Neglecting air resistance, answer the following questions: (a) What is the initial horizontal component of the velocity? Vix (b) What is the initial vertical component of the velocity? V₁y = (c) How high will the bullet rise? dymax m/s m/s Remember to round your answers to the correct number of significant digits.
- Goro Shigeno (Pitcher) and Joe Gibson Jr. (hitter) went head to head in the Major League Baseball (MLB) series. For the last pitch, Gibson hits the baseball with 82 ft/s at angle of 75°. When the ball is directly above Shigeno he begins to run under it. Determine the (a) the total distance that the pitcher runs and (b) the constant speed at which pitcher must run in order to make the catch at the same elevation at which the ball was hit. (Note: the distance between the pitcher and hitter is 70 ft.)In my homework, I am asked to derive an equation for V0. The homework question is as follows: A howitzer fires a shell with a velocity of v0 at an angle Θ above the horizontal. The howitzer is on a plateau and the shell lands down in the plain below, a vertical distance d below the plateau and a horizontal distance L from where the howitzer is. Derive an expression for the magnitude of the initial velocity, V0, as a function of d, L, g, and Θ. Any help would be appreciated as I have worked on this problem for quite a while and I am not making progress.2 M S F2 7. The captain of a small plane starts his journey by proceeding west. The speed of the plane with respect to still air is 170 km/h. A sudden south wind starts to blow at a constant speed of 87.5 km/h. What is the speed of the plane relative to the ground if no action is taken by the pilot? km/h 3 8. b) As seen by people on the ground, what is the angle made between the direction of motion of the plane with repect to the west? 9. c) At what angle with respect to the west must the pilot head his plane in order for it to proceed west as seen by the people on the ground? E 80 F3 D $ 4 F4 R F % O 5 F5 T G 6 MacBook Air IS Y & 7 H F7 U * 8 J DII FB ( 9 K F10 L P F12
- You are designing a missile defense system that will shoot down incoming missiles that pass over a perimeter defense post. The set-up is shown below. An incoming missile passes directly above the defense base. Radar at the base can measure the height, h, and speed, v1, of the incoming missile. Your Patriot Rocket is set to fire at an angle of θ=67∘ from vertical. You design the Patriot Rocket so the magnitude of its acceleration is given by: a2=Ae^−bt where A can be set on your Patriot Rocket as it is fired, b=0.15 s−1, and t=0 s when it is fired. The direction of your Patriot Rocket's vector acceleration stays at the same angle, θ, for the entire trip. If an incoming missile passes over the defense base at a height of 4.7 km and at a constant speed of 757 m/s (this means that v→1 is constant), solve for the value of A your Patriot Rocket must have in order to hit the incoming missile. You will also need to enter results from intermediate steps of your calculation, including the…You are designing a missile defense system that will shoot down incoming missiles that pass over a perimeter defense post. The set-up is shown below. An incoming missile passes directly above the defense base. Radar at the base can measure the height, ℎ, and speed, v1, of the incoming missile. Your Patriot Rocket is set to fire at an angle of θ=70∘ from vertical. You design the Patriot Rocket so the magnitude of its acceleration is given by: a2=Ae^(-bt) where A can be set on your Patriot Rocket as it is fired, b=0.3 s−1, and t=0 s when it is fired. The direction of your Patriot Rocket's vector acceleration stays at the same angle, θ, for the entire trip. If an incoming missile passes over the defense base at a height of 4.4 km and at a constant speed of 797 m/s (this means that vector v1 is constant), solve for the value of A your Patriot Rocket must have in order to hit the incoming missile. You will also need to enter results from intermediate steps of your calculation, including the…