A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal.Express the initial velocity as a linear combination of its unit vector components.Vo = (m/s) i + (m/s)At the maximum height, the speed of the cannon ball is v =m/s and the magnitude of its acceleration is a =m/s?.The time needed to reach maximum height is t =S.The maximum height reached by the cannon ball is H =m.

Name: A cannon ball is fired with an initial speed of 123 m/s at angle of 6
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal.Express the initial velocity as a linear combination of its unit vector components.Vo = (m/s) i + (m/s)At the maximum height, the speed of the cannon

Answered: Image /qna-images/answer/aa6b4646-d378-4d6b-b9b2-c5aa5669d33f.jpg

Science

Physics

A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal. Express the initial velocity as a linear combination of its unit vector components. Vo = ( m/s) î + ( m/s) Î At the maximum height, the speed of the cannon ball is v = m/s and the magnitude of its acceleration is a m/s?. The time needed to reach maximum height is t = S. The maximum height reached by the cannon ball is H = m.

A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal. Express the initial velocity as a linear combination of its unit vector components. Vo = ( m/s) î + ( m/s) Î At the maximum height, the speed of the cannon ball is v = m/s and the magnitude of its acceleration is a m/s?. The time needed to reach maximum height is t = S. The maximum height reached by the cannon ball is H = m.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of Vo =i+ 12j - k. The acceleration function of the particle is a(t) = 16ti+j+ (cos 2t)k. Find the speed of the particle at time t = 1. Round your answer to two decimal places. Speed =
A cart is propelled over an xy plane with acceleration components ax = 4.0 m/s2 and ay=-2.0 m/s2. Its initial velocity has components v0x = 8.0 m/s and v0y = 12 m/s. In unit-vector notation, what is the velocity of the cart when it reaches its greatest y coordinate?
A motorist drives south at 24.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.60 min, and finally travels northwest at 30.0 m/s for 1.00 min. For this 6.60 min trip, find the following values. Let the positive x axis point east. (a) total vector displacement m (magnitude) ° south of west(b) average speed m/s(c) average velocity m/s (magnitude) ° south of west
Morty is supposed to meet up with Rick, who is 50 mi north and 100 mi east of Morty,after exploring a new planet. Morty starts by driving east, but after 30 mi he comes to a detour that takes him 15 mi south before going east again. He then drives 8 mi east before his motorcycle runs out of gas. Rick flies over in his spaceship to pick him up. What is Rick’s displacement vector? Give your answer (a) in component form, using a coordinate system in which the y-axis points north, and (b) as a magnitude and direction.
An object moving at constant speed v around a circle of radius r has an acceleration a directed toward the center of the circle. The SI unit of acceleration is m/s2. If the speed is increased 17.5%, by what percentage does the radial acceleration increase?
The coordinates of a bee flying in the xy-plane are given by x(t) = At and y(t) = C - Bt², where A = 3.2 m/s, B = 1.4 m/s², and C= 2.5 m. Calculate the velocity and acceleration vectors of the bee as a function of time. Write your answers in unit vector notation.
A ball is thrown from a rooftop with an initial downward velocity of magnitude vo = 4.2 m/s. The rooftop is a distance above the ground, h = 21 m. In this problem use a coordinate system in which upwards is positive. Part (a) Find the vertical component of the velocity, vfy, in meters per second, with which the ball hits the ground. Numeric : A numeric value is expected and not an expression.vfy = __________________________________________Part (b) If we wanted the ball's final speed to be exactly 27.3 m/s, from what height, hnew (in meters), would we need to throw it with the same initial velocity?Numeric : A numeric value is expected and not an expression.hnew = __________________________________________Part (c) If the height is fixed at 21 m, but we wanted the ball's final speed to be 32.7 m/s, what would the vertical component of the initial velocity viy need to be, in meters per second?Numeric : A numeric value is expected and not an expression.viy =…
Suppose that a particle begins its motion from the origin and meets the velocity (in m / s) given by: vx (t) = 2.50t vy (t) = 3.50√t. for t> 0 in seconds. Find the speed of the particle at t = 5.00 s What is the acceleration vector (in rectangular components) at t = 2.00 s ? Find the magnitude of the displacement between t = 0.00 s and t = 6.00 s
A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 - 2.1t , where x and y are in meters and t is in seconds. Write a vector expression for the ball’s velocity as a function of time.
A cannonball was shot upward from a 50 meter tower. The cannonball traveled a total x displacement of 100 meters in 5.5 seconds before hitting the ground. What was the initial velocity of the cannonball in both magnitude and direction, in unit vector notation?
The position vector of a particle in 2D is given by r(t) = (bwt + b sin(wt)) â + (b + bcos (wt)) ŷ, where b and w are constants. Find the velocity, v(t), and acceleration, a(t), of the particle. Is the speed of the object constant?
The vertical displacement (in m) of a plane is 1.5 t2 up; t is the time (in s) after takeoff. The plane releases a package 2.0 s after takeoff. What is the magnitude of the velocity (in m/s) when the packaged is released? Report your answer in the appropriate number of significant digits. Answer value