Problem 1: A toy cannon launches pellets (projectiles) at a muzzle velocity vo=7m/s. Gravity acceleration is g=-9.8m/s². The angle of inclination at which the cannon launches the projectiles (hereafter denoted α) can be controlled. Assume that the target (a small paper boat) is placed at the maximum distance that the cannon can reach and that the angle a is chosen precisely so that the range is maximum (see Figure below), then calculate: a) The time it takes for the projectile from exiting the cannon to impact with the ship. Option A: 1.01 s Option B: 12.00 s Option C: 3.33 s Option D: 0.25 s b) The distance the ship is from the cannon. Option A: 1 m Option B: 5 m Option C: 0.5 m Option D: 12 m c) The maximum height, h, that the projectile reaches, i.e. the apex Option A: 1.25 m Option B: 5m Option C: 0.5 m Option D: 3 m d) The time it takes for the projectile to reach the maximum height. Option A: 2 s Option B: 0.51 s Option C: 1 s Option D: 3.33 s e) The velocity vector at the moment the projectile is at the apex. Option A: 121 m/s Option B: (0, 0) m/s Option C: (2.45 m/s, 2.45 m/s) Option D: (4.95 m/s, 0)
Problem 1: A toy cannon launches pellets (projectiles) at a muzzle velocity vo=7m/s. Gravity acceleration is g=-9.8m/s². The angle of inclination at which the cannon launches the projectiles (hereafter denoted α) can be controlled. Assume that the target (a small paper boat) is placed at the maximum distance that the cannon can reach and that the angle a is chosen precisely so that the range is maximum (see Figure below), then calculate: a) The time it takes for the projectile from exiting the cannon to impact with the ship. Option A: 1.01 s Option B: 12.00 s Option C: 3.33 s Option D: 0.25 s b) The distance the ship is from the cannon. Option A: 1 m Option B: 5 m Option C: 0.5 m Option D: 12 m c) The maximum height, h, that the projectile reaches, i.e. the apex Option A: 1.25 m Option B: 5m Option C: 0.5 m Option D: 3 m d) The time it takes for the projectile to reach the maximum height. Option A: 2 s Option B: 0.51 s Option C: 1 s Option D: 3.33 s e) The velocity vector at the moment the projectile is at the apex. Option A: 121 m/s Option B: (0, 0) m/s Option C: (2.45 m/s, 2.45 m/s) Option D: (4.95 m/s, 0)
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)...
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Transcribed Image Text:Problem 1: A toy cannon launches pellets (projectiles) at a muzzle velocity vo=7m/s. Gravity acceleration
is g=-9.8m/s². The angle of inclination at which the cannon launches the projectiles (hereafter denoted α)
can be controlled. Assume that the target (a small paper boat) is placed at the maximum distance that the
cannon can reach and that the angle a is chosen precisely so that the range is maximum (see Figure below),
then calculate:
a) The time it takes for the projectile from exiting the cannon to impact with the ship.
Option A: 1.01 s
Option B: 12.00 s
Option C: 3.33 s
Option D: 0.25 s
b) The distance the ship is from the cannon.
Option A: 1 m
Option B: 5 m
Option C: 0.5 m
Option D: 12 m
c) The maximum height, h, that the projectile reaches, i.e. the apex
Option A: 1.25 m
Option B: 5m
Option C: 0.5 m
Option D: 3 m
d) The time it takes for the projectile to reach the maximum height.
Option A: 2 s
Option B: 0.51 s
Option C: 1 s
Option D: 3.33 s
e) The velocity vector at the moment the projectile is at the apex.
Option A: 121 m/s
Option B: (0, 0) m/s Option C: (2.45 m/s, 2.45 m/s) Option D: (4.95 m/s, 0)
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