Projectile Motion Homework Help

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Homework Help Overview

The problem involves projectile motion, specifically finding the initial velocity and maximum height given an angle, horizontal range, and time of flight.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss using the suvat equations and consider the implications of horizontal motion, noting that horizontal acceleration is zero. There are attempts to derive the horizontal component of velocity and its relationship to the initial velocity.

Discussion Status

Some participants have offered guidance on using trigonometric relationships to find the initial velocity components. There is an ongoing exploration of the relationships between the horizontal and vertical components of motion, but no consensus has been reached on the complete solution.

Contextual Notes

Participants express uncertainty about which equations to apply and the implications of horizontal motion in the context of projectile motion.

loopsnhoops
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Homework Statement



Find the initial velocity and the maximum height

θ = 28˚
horizontal range/distance/s = 68 m
time = 6.30 s

Homework Equations



suvat equations not so sure which one though

The Attempt at a Solution



I think to find the initial velocity I use the equation:
s=ut+(1/2)at^2

I think acceleration horizontally is 0 so:

u(h) = s(h)/t
 
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loopsnhoops said:

Homework Statement



Find the initial velocity and the maximum height

θ = 28˚
horizontal range/distance/s = 68 m
time = 6.30 s

Homework Equations



suvat equations not so sure which one though

The Attempt at a Solution



I think to find the initial velocity I use the equation:
s=ut+(1/2)at^2

I think acceleration horizontally is 0 so:

u(h) = s(h)/t

There is no acceleration in the horizontal direction so you can simply use s=vt.

Now you can solve for the horizontal component of velocity and you have an angle so using trig you should now be able to solve for the hypotenuse of the initial velocity.

For the maximum height just remember to only focus on the vertical components and use your kinematics equations.
 
loopsnhoops said:

Homework Statement



Find the initial velocity and the maximum height

θ = 28˚
horizontal range/distance/s = 68 m
time = 6.30 s

Homework Equations



suvat equations not so sure which one though

The Attempt at a Solution



I think to find the initial velocity I use the equation:
s=ut+(1/2)at^2

I think acceleration horizontally is 0 so:

u(h) = s(h)/t
Use the last equation, u(h) = s(h)/t to find the horizontal component of the velocity. Since the horizontal component of the velocity is constant, what does this tell you about the horizontal component of the initial velocity?
 
It is the same as the u(h)?
 
Lol I don't know any of this...
 
loopsnhoops said:
It is the same as the u(h)?
Yes. The horizontal component of the velocity doesn't change, so that is the same as the horizontal component of the initial velocity.

From that use some trig to find the initial velocity and the vertical component of the initial velocity.
 

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