S1W5 2d motion practice Honors

Posljednje ažuriranje 10 months ago

22 questions

S1W5 2d motion practice Honors

Posljednje ažuriranje 10 months ago

22 questions

When dealing with two dimensional motion, you can decompose all vectors into horizontal and vertical and deal with each one separately.

True, use magnitude x cos \theta for vertical, magnitude x sin \theta for horizontal

True, use magnitude x cos \theta for horizontal, magnitude x sin \theat for vertical

false, you can decompose them, but you can't deal with them separately

false, there is no way to decompose them

Let's review the equations we have seen so far.
this equation tells you that velocity v is

The slope of the acceleration curve

the slope of the position curve

in 1D, a question using this equation might look like this - Hannah starts her sprint at 10m left of the door and ends her spring after 5 seconds 15m right of the door. Assume 0 acceleration, Find Hannah's velocity and show her position and velocity on the position-time graph and her velocity vs time graph in your "show your work"

I'm stepping you through that one just to make sure - The initial position is -10 (because it is to the left of the door, it is negative). and the final position is 15, which is positive because it is to the right of the door. If I want to find the distance between them, I would subtract . $x_f -x_i = 15--10 = 15+10$Show the two points and the line between them on the number line below.

Instrukcije

Kliknite na karticu Grafikon (Grafikon 1, Grafikon 2 i tako dalje) za svaki grafikon koji trebate nacrtati.
Kliknite na pozadinu grafikona da biste dodali zatvorenu tačku. Kliknite na zatvorenu tačku da biste je pretvorili u otvorenu tačku. Kliknite ponovo da biste je izbrisali. Dodajte dvije tačke da biste kreirali linijski segment.

Lijeva strelica

Strelica desno

what does finding the displacement look like in 2D? Saw you start at $15\hat i+10\hat j$ and end at $20\hat i +3\hat j$,
show the vector addition in the graph below, and give the displacement in vector form. you can use \hat to prompt the calculator to let you write it as a vector

give a scenario where you would want to add the two vectors above instead of subtract them?

If you have a plane that has a velocity of $15\hat i +6\hat j$ with regards to the ground, and there is a wind blowing at $-12\hat i +7\hat j$. What would the plane's velocity be if there was no wind?
$\hat i$ +$\hat j$

The final velocity for the above problem is \hat i+ \hat j

If you have a plane that in a windless day has a velocity of $6\hat i + 3\hat j$$\frac{m}{s}$. If a wind started blowing at $5\hat i +9\hat j$ $\frac{m}{s}$ how fast would the total velocity of the plane be?

$\hat i +$ $\hat j$

Watch the following video
do you have any questions?

I actually disagree with what he says at one point when he says the equations for constant velocity are different from the equations for uniformly accelerating motion equations. Constant velocity situations have a uniform acceleration. and it is 0. so we are going to solve UAM eqautions for when a=0

What does that look like when a=0? you can use _0 to get that subscript.

substitute a=0 and solve for $v_0$

the next UAM equation is just using the first two to get rid of the t.

Solve

for t.

then sub in that equation for t into

put it in here before you start manipulating it. note that the above equation is typically for $x$, not just $x_f$, but roll with me here. also, i am going to move x_0 to the other side so we are dealing with \Delta x
$x_f-x_i=\Delta x=$

thats ugly, once you have that lets simplify. You will need to foil.

what do you get? $\Delta x=$

i'll be honest, I don't think I ever memorized this one. I thought it was easier, if given the other variables to solve the one equation for t, and then plug t into the second equation to find whatever else i was missing. I probably could have saved myself a ton of algebra if I just bothered to remember to look at the equation sheet though.

Let's use it! How far has our ball traveled when its velocity in the y direction becomes 0? It is thrown up at a velocity of 4 m/s. use $-10\frac{m}{{s}^{2}}$for gravity.

The last equation just uses the concept of average velocity, it only works if you are dealing with a beginning and end, not if you want to find position anytime along the journey. Let's start with this one graphically. what does your intuition tell you is the average point on this line? null

looks like the average point is

ok remember that the average velocity is different from instantaneous velocity. it is the following equation

, which I can solve for $\Delta x$ as

we have another $\Delta x$equation.

Substitute $v_{avg} t$ in for $\Delta x$, and this in for a

and you get

solve and simplify and you get$v_{avg} =$

That should jive with your intuition above. once you have an average velocity, you can use the equation for displacement

Again, for total displacement, nothing midway.

projectile motion also works with frames of reference. A clown in a glass train throws a ball straight into the air. compare how the motion looks to the clown vs to the man on the platform watching the train go by.

how would the motion change to the platform viewer compared to the train viewer if there are two clowns throwing balls to each other as the train passes by?

drag the descriptions of motion to the proper place

Drugi mogući odgovor:

when the velocity in the y direction is 0

a point where my y velocity is negative

a point where my y velocity is positive

when the y position is 0

initial x and y direction, and where the initial velocities in the x and y directions would be measured.

Consider the following question - a cannon is shot with an initial velocity of 3\hat i+5\hat j m/s it's initial position in meters is at (0,1). The cannonball takes 4 seconds to hit the ground. how far did the cannon move horizontally when it hits the ground? Assume no air resistance

Consider the following question - a cannon is shot with an initial velocity of 2\hat i+6\hat j m/s? it's initial position in meters is at (0,1). When does the cannonball reach its highest point Assume no air resistance

consider the following problem: the hangtime of a basketball player who jumps a vertical distance of 2 feet (0.6 m) is about 2/3 s. what will be the hangtime of a player that can jump 1.4 feet (1.2 m) horizontally?

A cannonball is fired and you are given the following information
Initial velocity = $4\hat i +7\hat j$ $\frac{m}{s}$,
total horizontal distance when it hits the ground = 7 m
acceleration due to gravity = 10 m/s^2
acceleration in the x direction = 0
you are asked how far off the ground the cannonball is fired from.
You may have to use a couple different equations for this one. talk through what you would do, don't actually do it.

How are you feeling about each of these

how to determine what your givens are
how to determine what your unknown is
how to figure out which equation to use
how to use the equations
whether or add or subtract vectors
Using two equations to solve one problem

I've got this
I'm fuzzy
so confused

S1W5 2d motion practice Honors

S1W5 2d motion practice Honors

When dealing with two dimensional motion, you can decompose all vectors into horizontal and vertical and deal with each one separately.

Let's review the equations we have seen so far. this equation tells you that velocity v is

what does finding the displacement look like in 2D? Saw you start at $15\hat i+10\hat j$ and end at $20\hat i +3\hat j$, show the vector addition in the graph below, and give the displacement in vector form. you can use \hat to prompt the calculator to let you write it as a vector

give a scenario where you would want to add the two vectors above instead of subtract them?

Watch the following videodo you have any questions?

Let's use it! How far has our ball traveled when its velocity in the y direction becomes 0? It is thrown up at a velocity of 4 m/s. use $-10\frac{m}{{s}^{2}}$for gravity.

projectile motion also works with frames of reference. A clown in a glass train throws a ball straight into the air. compare how the motion looks to the clown vs to the man on the platform watching the train go by.

Consider the following question - a cannon is shot with an initial velocity of 3\hat i+5\hat j m/s it's initial position in meters is at (0,1). The cannonball takes 4 seconds to hit the ground. how far did the cannon move horizontally when it hits the ground? Assume no air resistance

Consider the following question - a cannon is shot with an initial velocity of 2\hat i+6\hat j m/s? it's initial position in meters is at (0,1). When does the cannonball reach its highest point Assume no air resistance

consider the following problem: the hangtime of a basketball player who jumps a vertical distance of 2 feet (0.6 m) is about 2/3 s. what will be the hangtime of a player that can jump 1.4 feet (1.2 m) horizontally?

How are you feeling about each of these

When dealing with two dimensional motion, you can decompose all vectors into horizontal and vertical and deal with each one separately.

Let's review the equations we have seen so far. this equation tells you that velocity v is

what does finding the displacement look like in 2D? Saw you start at $15\hat i+10\hat j$ and end at $20\hat i +3\hat j$, show the vector addition in the graph below, and give the displacement in vector form. you can use \hat to prompt the calculator to let you write it as a vector

give a scenario where you would want to add the two vectors above instead of subtract them?

Watch the following videodo you have any questions?

Let's use it! How far has our ball traveled when its velocity in the y direction becomes 0? It is thrown up at a velocity of 4 m/s. use $-10\frac{m}{{s}^{2}}$for gravity.

projectile motion also works with frames of reference. A clown in a glass train throws a ball straight into the air. compare how the motion looks to the clown vs to the man on the platform watching the train go by.

Consider the following question - a cannon is shot with an initial velocity of 3\hat i+5\hat j m/s it's initial position in meters is at (0,1). The cannonball takes 4 seconds to hit the ground. how far did the cannon move horizontally when it hits the ground? Assume no air resistance

Consider the following question - a cannon is shot with an initial velocity of 2\hat i+6\hat j m/s? it's initial position in meters is at (0,1). When does the cannonball reach its highest point Assume no air resistance

consider the following problem: the hangtime of a basketball player who jumps a vertical distance of 2 feet (0.6 m) is about 2/3 s. what will be the hangtime of a player that can jump 1.4 feet (1.2 m) horizontally?

How are you feeling about each of these

Let's review the equations we have seen so far.
this equation tells you that velocity v is

what does finding the displacement look like in 2D? Saw you start at $15\hat i+10\hat j$ and end at $20\hat i +3\hat j$,
show the vector addition in the graph below, and give the displacement in vector form. you can use \hat to prompt the calculator to let you write it as a vector

Watch the following video
do you have any questions?

Let's review the equations we have seen so far.
this equation tells you that velocity v is

what does finding the displacement look like in 2D? Saw you start at $15\hat i+10\hat j$ and end at $20\hat i +3\hat j$,
show the vector addition in the graph below, and give the displacement in vector form. you can use \hat to prompt the calculator to let you write it as a vector

Watch the following video
do you have any questions?