Consider launching a projectile from a cannon as shown in the diagram below. This arrangement has been set up in the experimental equipment provided. The launch angle is e and the mouth of the cannon is h above the ground. The initial velocity of the projectile as it leaves the mouth of the cannon has a magnitude w. The ball lands on the ground a distance, d, away from the mouth of the cannon. d- Problem 1. Determining the Initial Velocity a. Write down expressions for the components of the initial velocity, , in the x and y directions. b. Take the vector equation for position as a function of time (): i, =f, +v + āt? and separate it into two equations, one for position in the x-direction as a function of time and an other one for they-direction. c. Using the diagram and what you know about the acceleration in the x-direction, derive an equation for d, as a function of 8, w and t.

Consider launching a projectile from a cannon as shown in the diagram below. This arrangement has been set up in the experimental equipment provided. The launch angle is e and the mouth of the cannon is h above the ground. The initial velocity of the projectile as it leaves the mouth of the cannon has a magnitude w. The ball lands on the ground a distance, d, away from the mouth of the cannon. d- Problem 1. Determining the Initial Velocity a. Write down expressions for the components of the initial velocity, , in the x and y directions. b. Take the vector equation for position as a function of time (): i, =f, +v + āt? and separate it into two equations, one for position in the x-direction as a function of time and an other one for they-direction. c. Using the diagram and what you know about the acceleration in the x-direction, derive an equation for d, as a function of 8, w and t.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 2.1CYU: Check Your Understanding Two motorboats named Alice and Bob are moving on a lake. Given the...

See similar textbooks

Similar questions

A projectile is launched at an angle of 30 and lands 20 s later at the same height as it was launched. (a) What is the initial speed of the projectile? (b) What is the maximum altitude? (c) What is the range? (d) Calculate the displacement from the point of launch to the position on its trajectory at 15 s.
For the vectors given in the following figure, use a graphical method to find the following resultants: (a) A+B , (b) C+B , (c) D+F , (d) AB , (e) DF , (f) A+2F , (g) C+2D ; and (h) A4D+2F .
Find the ranges shown for the projectiles in the figure for an initial speed of 50 m/s at the given initial angles. Part A: What is the range, in meters, for the projectile with the angle of 15°? Part B: What is the range, in meters, for the projectile with the angle of 45°? Part C: What is the range, in meters, for the projectile with the angle of 75°?
Explain how to find the range of a projectile projected horizontally from a top of a building with an initial velocity (make up your own initial velocity). First, use the kinematic formula for finding the time it takes to hit the target, delta y = (1/2) gt^2 . Then use the equation R = Vx * t to find the range. Explain please
Solve by showing the complete solution and illustrate too. A ball is thrown horizontally from the top of a 60.0-m building and lands 100.0 m from the base of the building. Ignore air resistance. (a) How long is the ball in the air (total time)? (b) What must have been the initial horizontal component of the velocity(vix)? (c) What is the vertical component of the velocity just before the ball hits the ground(vfy)?
A golf ball is hit at a 64o angle with an initial velocity of 20 m/s. What are the x and y components of its initial velocity? How high did the golf ball go? How long was the golf ball in the air? How far did the golf ball go? What other angle would give this distance? (think of your lab) How would you decide which angle would be better to use?
A golfer gives a ball a maximum initial speed of 51.4 m>s.(a) What is the longest possible hole-in-one for this golfer? Neglectany distance the ball might roll on the green and assume that thetee and the green are at the same level. (b) What is the minimumspeed of the ball during this hole-in-one shot?
A certain cannon has a maximum horizontal range of 1010m when fired on level ground. In class (and in the textbook), we derived an equation that gives the horizontal range in terms of the muzzle velocity (really, speed) vo, and the firing angle, and discussed conditions for maximum horizontal range on flat ground. (a) Use this equation to find the muzzle velocity of the cannon (b) If instead of flat ground, the cannon is fired from a hill-top at 30 degrees and the projectile lands 1300m away, what is the height of the hill?
A golf ball is hit at a 64o angle with an initial velocity of 20 m/s. How far did the golf ball go? What other angle would give this distance? How would you decide which angle would be better to use?
Note : do not copy from Chegg. A projectile, initially 80.0 m from the ground, has an initial velocity of 50.0 m/s, +60 °. a) Where is the projectile when its speed is a minimum? b) Where is the projectile when its speed is 26.9258 m/s?
What kinematic equation/s would you use to help calculate the range of a projectile launched horizontally, and what variables from these equations must you know to accurately calculate range?
The man at A wishes to throw two darts at the target at B so that theyarrive at the same time. If each dart is thrown with a speed of 12.0 m/s, determinethe angles θC and θD at which they should be thrown and the time between eachthrow. Note that the first dart must be thrown at θC (> θD), then the second dart isthrown at θD