Projectile Fired Over a Hill: Find H, R, Angle & t_g

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Homework Help Overview

The discussion revolves around a projectile motion problem where a projectile is fired at an initial speed \( v_0 \) and angle. Participants are tasked with finding various parameters such as the highest point in the trajectory \( H \), the range \( R \), the angle of projection, the initial speed, and the flight time \( t_g \). The context involves applying kinematic equations to analyze the motion under the influence of gravity.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss using kinematic equations to derive the requested values. There is an emphasis on showing workings and decomposing velocity into x and y components, highlighting the independence of these components in projectile motion.

Discussion Status

Some participants have suggested starting with the decomposition of velocity and applying kinematic equations, while others encourage showing individual workings to facilitate understanding. Multiple interpretations of the problem setup are being explored, but no consensus has been reached on a specific approach.

Contextual Notes

Participants are reminded to express their findings in terms of the given variables, including \( g \), \( v_0 \), and the angle of projection. There is an implicit expectation to adhere to homework guidelines regarding the presentation of solutions.

markiii
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A projectile is fired with speed v_0 at an angle
Find the highest point in the trajectory,H .
Express the highest point in terms of the magnitude of the acceleration due to gravity g, the initial velocity v_0, and the angle .
What is the range of the projectile,R ?
Express the range in terms of v_0,angle , and g.
Find the angle above the horizontal at which the projectile should be fired.
What is the initial speed?
Find t_g , the flight time of the projectile
 
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Use the kinematic equations to solve for all of the requested values.
 
Show some of ur own workings first. Like what Saketh have suggested. use the kinematics eqns to solve ur problem. These qns are quite straightforward.
 
markiii said:
A projectile is fired with speed v_0 at an angle
Find the highest point in the trajectory,H .
Express the highest point in terms of the magnitude of the acceleration due to gravity g, the initial velocity v_0, and the angle .
What is the range of the projectile,R ?
Express the range in terms of v_0,angle , and g.
Find the angle above the horizontal at which the projectile should be fired.
What is the initial speed?
Find t_g , the flight time of the projectile

Decompose the velocity as x and y components first.
the X and Y components are independent to each other
 

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