A catapult of length, 0.6 m, starts at rest (shown left) and undergoes a constant acceleration for 0.15 seconds through an angle of 0.7 radians (shown right). After rotating 0.7 radians, the catapult stops moving, at which point the ball separates from the catapult. The ball flies through the air and eventually lands on level ground (though not at its starting height). If the ball hits the ground after 3 seconds, what is the y component of the velocity just before the ball hits the ground (where positive y is up into the sky)? Air resistance can be neglected. To solve this problem we will break it into 2 parts. The first piece will be a rotational evaluation of the catapult swing. The second piece will be the parabolic motion of our launched ball (which has now separated from the catapult).

A catapult of length, 0.6 m, starts at rest (shown left) and undergoes a constant acceleration for 0.15 seconds through an angle of 0.7 radians (shown right). After rotating 0.7 radians, the catapult stops moving, at which point the ball separates from the catapult. The ball flies through the air and eventually lands on level ground (though not at its starting height). If the ball hits the ground after 3 seconds, what is the y component of the velocity just before the ball hits the ground (where positive y is up into the sky)? Air resistance can be neglected. To solve this problem we will break it into 2 parts. The first piece will be a rotational evaluation of the catapult swing. The second piece will be the parabolic motion of our launched ball (which has now separated from the catapult).

Name: Before beginning solving for the kinematics of the ball, we have to s
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Description: Before beginning solving for the kinematics of the ball, we have to start by investigating the rotationof the catapult. Specifically, we need to figure out what that launch speed is! What information isknown regarding the rotation of the catapult? (

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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Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

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Question

Before beginning solving for the kinematics of the ball, we have to start by investigating the rotation
of the catapult. Specifically, we need to figure out what that launch speed is! What information is
known regarding the rotation of the catapult? (select all that apply)
O the angular distance (theta) of the swing
O the total time of the swing
O the initial rotational velocity of the swing
O the final rotational velocity of the swing
O the rotational acceleration of the swing

A catapult of length, 0.6 m, starts at rest (shown left) and undergoes a constant acceleration for 0.15
seconds through an angle of 0.7 radians (shown right). After rotating 0.7 radians, the catapult stops
moving, at which point the ball separates from the catapult. The ball flies through the air and
eventually lands on level ground (though not at its starting height). If the ball hits the ground after 3
seconds, what is the y component of the velocity just before the ball hits the ground (where positive
y is up into the sky)? Air resistance can be neglected. To solve this problem we will break it into 2
parts. The first piece will be a rotational evaluation of the catapult swing. The second piece will be
the parabolic motion of our launched ball (which has now separated from the catapult).
Length
Angle
Enter your numerical answer in units of m/s to 3 sig figs:
Length

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