College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Question

Need answer to part D and E

### Projectile Motion Problem **Suppose a projectile is fired with initial speed \( v_0 \) and angle \( \theta \) above the horizontal.** #### a) Understand and Plan - **Task:** Draw a picture, establish a coordinate system for this problem, and label your diagram. - **Action:** Make a table of known/given information and unknown/wanted information (this may involve reading the rest of the problem before starting). #### b) Maximum Height Expression - **Using Kinematics:** Derive a symbolic expression for the maximum height reached by the projectile. - **Check:** Verify the physical units of your expression. #### c) Total Time in Air - **Using Kinematics:** Derive a symbolic expression for the total time the projectile is in the air. - **Check:** Verify the physical units of your expression. #### d) Velocity at Time \( t \) - **Using Kinematics:** Derive an expression for the magnitude and direction angle of the projectile's velocity at time \( t \) after the object is fired. - **Check:** Verify the physical units of your expression. #### e) Given Initial Conditions - **Problem Conditions:** Suppose that the projectile is fired with an initial speed of \( v_0 = 46.6 \, \text{m/s} \) and \( \theta = 42.2^\circ \). - **Task:** Determine the magnitude and direction angle of the projectile’s velocity \( 1.50 \, \text{s} \) after being fired.
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Transcribed Image Text:### Projectile Motion Problem **Suppose a projectile is fired with initial speed \( v_0 \) and angle \( \theta \) above the horizontal.** #### a) Understand and Plan - **Task:** Draw a picture, establish a coordinate system for this problem, and label your diagram. - **Action:** Make a table of known/given information and unknown/wanted information (this may involve reading the rest of the problem before starting). #### b) Maximum Height Expression - **Using Kinematics:** Derive a symbolic expression for the maximum height reached by the projectile. - **Check:** Verify the physical units of your expression. #### c) Total Time in Air - **Using Kinematics:** Derive a symbolic expression for the total time the projectile is in the air. - **Check:** Verify the physical units of your expression. #### d) Velocity at Time \( t \) - **Using Kinematics:** Derive an expression for the magnitude and direction angle of the projectile's velocity at time \( t \) after the object is fired. - **Check:** Verify the physical units of your expression. #### e) Given Initial Conditions - **Problem Conditions:** Suppose that the projectile is fired with an initial speed of \( v_0 = 46.6 \, \text{m/s} \) and \( \theta = 42.2^\circ \). - **Task:** Determine the magnitude and direction angle of the projectile’s velocity \( 1.50 \, \text{s} \) after being fired.
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Step 1 A labeled diagram is provided to solve part d and e.
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Step 4 Expression for magnitude and direction angle of velocity of projectile at time t.
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Step 5 Magnitude and direction angle of velocity of projectile at time t = 1.50 secs.
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