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.

Q: A group of collegiate golfers invent a game where they have to hit a golf ball up to the roof of a…

A: Given information: The height of the roof (h) = 23.76 m The distance at which the hole is present…

Q: Consider a projectile being launched with an initial speed of 49.5 m/s at a variety of initial…

A: a) Given data The initial velocity of the projectile launched is given as u = 49.5 m/s. The angle…

Q: You throw a ball from an initial height of 3.03 m above the ground, with an initial speed is 15.1…

A: Given data: Initial height h=3.03 m. Initial speed vo=15.1 m/s. Launch angle θ=42.4°. The…

Q: In a live fire exercise, an Army artillery team fires an artillery shell from a howitzer. The barrel…

A: Given data: Angle above the horizontal, θ=540 Initial velocity of the shell,  u=350 m/s  Time taken…

Q: A student throws a water balloon at an initial angle θ = 23° above the horizontal with an initial…

A: Given: Angle of projection =23 degrees Height h=1.52 m Horizontal distance d =7.5 m

Q: Consider the motion of a baseball. It has an initial position (Xo Yo) = (0,3.5) feet when it is hit…

A:

Q: An apple grows on a tree located on a 39° hill with respect to the horizontal. The apple falls,…

A:

Q: A projectile is shot from ground level at 100 ft/s at a launch angle of θ that is between θ and π…

A: Range, Rθ=625 sinθ cosθ =12625 sin2θrate of change of range wrt. the launch angle, dRθdθ=12625…

Q: Consider a projectile with the magnitude of initial velocity u, and the initial velocity makes an…

A:

Q: Trachecktory. Two cannonballs, aptly named a and ß, were launched on level ground. a was launched…

A:

Q: A boat travels down a river. Relative to the riverbank, the water moves at a constant speed of 22…

A:

Q: A cannonball is fired with an initial speed of 123 m/s at an angle of 60 degrees from the…

A: Given Data: Initial speed, u=123 m/s Angle of ascent, θ=60° Diagram:

Q: You are designing a missile defense system that will shoot down incoming missiles that pass over a…

A: Given Angle θ     = 65° Height (h)   = 4.4 km = 4.4×103 m Speed v1 = 734 m/s b                = 0.3…

Q: A particle moves in a circular path according to the clockwise equation θ(t)=π/4+3t+2t2, where θ is…

A: Here angular velocity = 4t+3 rad/sec And angular acceleration is = 4 rad/sec^2 so object speed is…

Q: The cork from a champagne bottle slips through the hands of a waiter opening it, moving with an…

A: Given cork velocity is V=13.3m/s At angle above horizontal θ=77.2⁰ Distance between waiter and diner…

Q: The velocity of a particle moving in the x-y plane is given by (6.07i+ 4.97j) m/s at time t = 3.87…

A:

Q: While competing in the long jump, a person leaps over a smooth horizontal sand surface. She lands on…

A: Given:- The landing velocity of the person is vf= 7.75 m/s  The angle of  land below the horizontal…

Q: A student stands at the edge of a cliff and throws stone horizontally over the edge with a speed of…

A:

Q: quarterback throws a football with an initial velocity v at an angle θ above the horizontal. Assume…

A:

Q: baseball is thrown from a rooftop with an initial downward velocity of magnitude v0 = 5.33 m/s. The…

A:

Q: On the roof of a 24 meter high building there is a cannon. The barrel of the cannon is 4.0 meters…

A:

Q: A spring gun at ground level fires a golf ball at an angle of 45°. The ball lands 10 m away. a) What…

A:

Q: The velocity of a particle moving in the x-y plane is given by (3.70i + 7.44j) m/s at time t = 6.60…

A:

Q: A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis).…

A:

Q: A ball is kicked with an initial horizontal velocity of 16 m/s and initial vertical velocity of 10…

A:

Q: An arrow is fired with an initial velocity v0 at an angle θ0 above horizontal. Assume the arrow…

A:

Q: A group of collegiate golfers invent a game where they have to hit a golf ball up to the roof of a…

A: As Isabella strikes the golf ball, the ball will be set into a projectile motion.  The ball will…

Q: A golf coach is showing her athletes how to hit a golf ball from the ground. Using her driver, she…

A: A. How long is the ball in the air before it first hits the ground?In the given parametric…

Q: Problem 3: An object is thrown off the top of a building with velocity 32 m/s at an angle of 17°…

A: Time of flight t=xucosθ=280 m32 m/scos17°=9.149 s

Q: When a ball with a mass of 3 kg reaches 9 meters above the ground after being thrown obliquely from…

A: The given values are, m=3 kgh=9 mv=7i+6j m/sv=72+62 m/s=9.22 m/svx=7 m/svy=6 m/s

Q: The cork from a champagne bottle slips through the hands of a waiter opening it, moving with an…

A: Given Data: The initial speed of cork v0=15.6 ms Launch angle θ=77.4° A diner is sitting a…

Q: A projectile is landing with an angle of 60 degrees below the horizontal. It is thrown horizontally…

A:

Q: You are walking around your neighborhood and you see a child on top of a roof of a building kick a…

A: The situation can be drawn as below,

Q: A cannon sits on a horizontal plain, angled up at 35°. A cannonball is fired with a velocity of 100.…

A:

Q: Problem 1: A student throws a water balloon at an initial angle 0= 32° above the horizontal with…

A:

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: A group of collegiate golfers invent a game where they have to hit a golf ball up to the roof of a…

A: As Isabella strikes the golf ball, the ball will be set into a projectile motion.  The ball will…

Q: A projectile is launched horizontally to the right with an initial speed of 22.6 m/s. The projectile…

A: Given data:  A projectile is launched horizontally Initial horizontal velocity (v0x) = 22.6 m/s Time…

Q: A placekicker kicks a football at an angle of 20.0 degrees and the initial speed of the ball is 15…

A: Given data:  Initial velocity (u) = 15 m/s Angle (θ) = 20.0° Required: Range (R)

Q: The position vector of a particle of mass 0.05 kg is r (t) = 3 cos (4. t)i + 3 sin (4.t)j +10 t k…

A:

Q: 6. From the window of a building, a ball is tossed from a height yo above the ground with an initial…

A:

Projectile Motion