Honors S1W4 Vectors practice and 2d motion practice

Ɛhia

1

What is the length of$\vec{b}+\vec{c}$

Ɛhia

1

What is the length of $\vec{b}-\vec{c}$

1

a conveyor belt at an airport is travelling west to east at a constant velocity. a cart is moving along the pavement at a similar, but somewhat smaller velocity. The cart enters the conveyor belt at the west entrance and the wind picks up blowing against the cart.

this is the scenario shown in the vectors above. which of the following would be the total velocity of the cart?

$\vec{a}+\vec{b}+\vec{c}$

$\vec{a}-\vec{b}+\vec{c}$

$\vec{a}+\vec{b}-\vec{c}$

$-\vec{a}+\vec{b}+\vec{c}$

1

you can express the vector a+b as two vectors, one horizontal and one vertical. Which is the horizontal. please use the \hat{i} or \hat{j} notation. you can do that using typing in \hat

Ɛhia

1

Rosa Boat is paddling upstream at 1.4 m/s relative to the water in a river which is flowing at 0.50 m/s relative to the banks of the river. which diagram shows the resultant velocity of Rosa's boat (relative to the banks)?

If the boat is going 1.4m/s relative to the river, you would add the vectors, she would be going faster than she thinks because the water is carrying her faster than she is rowing.

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if she is paddling upstream, she is going the opposite way the river is flowing. and if she is going 1.4 m/s relative to the water, it means she is going less quickly than she thinks relative to the bank.

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her total speed is the difference between her speed and the river speed, but since the river is going backwards, you would add the magnitudes.

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The river is flowing downstream, so even though she is paddling the wrong direction, it isn't strong enough for her to move upstream.

null

Ɛhia

1

Rosa's boat is paddling upstream at 125 cm/s relative to the water in a river which is flowing at 50 cm/s relative to the banks of the river. What is the resultant velocity of Rosa's boat (relative to the banks)?

1

what would you guess roughly the velocity vs time graph would look like? Consider: when does the velocity change from positive to negative? when is the velocity 0?

Akwankyerɛ

Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.

1

What does the acceleration graph look like?

Akwankyerɛ

Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.

1

Notice the graph above is a 1d graph. the ball is going straight up and down. not side to side at all. remember, the x-axis is time, not left and right. a hockey puck is sliding on a completely frictionless ice rink. The moment it leaves the hockey stick is time=0 and position=0
it moves at a constant velocity until it is caught by the goalie 6 meters away. which of the following graphs shows the position time of hockey puck

null

1

From the discussion in class and your lab from last weekend, does the horizontal velocity of something moving in the horizontal direction change how long it takes that something to fall to the ground?

yes

no

1

click on intro and shoot the cannon a few times at different velocities (don't change the angle of the cannon yet). Then use the measurement tool for when the different trajectories hit the ground. What do you find?

1

if you point the cannon into the air at an angle, each trajectory hits at a different time, why?

1

click "components" under velocity vectors, and shoot the cannon with a low velocity. What do you notice about the horizontal velocity as the ball follows the trajectory?

1

What do you notice about the vertical velocity as the ball follows the trajectory?

1

Ɛhia

1

Watch the following video on Projectile motion. Do you have any questions?

Ɛhia

1

Take a section you think you understood pretty well from the video and summarize it here.

1

Every projectile motion curve with only one constant acceleration is a quadratic equation that looks like this:
what do $v_0$ and $x_0$ stand for?

1

John is given the acceleration due to gravity, the initial velocity in the y-direction :40 m/s, and the initial position of the projectile: 10m. he takes the equation
and turns it into
and uses the quadratic formula to find t. What is he trying to figure out?

1

what would he have to do differently if he was told that the initial velocity was 40 m/s at a 45 degree angle from the horizontal?

1

Adding 1D vectors
Adding 2D vectors
subtracting any kind of vector
how to read position time graphs
what graphs look like with acceleration vs with no acceleration
Thinking about 2D motion by looking at the vertical motion separately from the horizontal motion

I've got this
im fuzzy
so confused

Honors S1W4 Vectors practice and 2d motion practice

What is the length of$\vec{b}+\vec{c}$

What is the length of $\vec{b}-\vec{c}$

you can express the vector a+b as two vectors, one horizontal and one vertical. Which is the horizontal. please use the \hat{i} or \hat{j} notation. you can do that using typing in \hat

Rosa Boat is paddling upstream at 1.4 m/s relative to the water in a river which is flowing at 0.50 m/s relative to the banks of the river. which diagram shows the resultant velocity of Rosa's boat (relative to the banks)?

Rosa's boat is paddling upstream at 125 cm/s relative to the water in a river which is flowing at 50 cm/s relative to the banks of the river. What is the resultant velocity of Rosa's boat (relative to the banks)?

what would you guess roughly the velocity vs time graph would look like? Consider: when does the velocity change from positive to negative? when is the velocity 0?

What does the acceleration graph look like?

From the discussion in class and your lab from last weekend, does the horizontal velocity of something moving in the horizontal direction change how long it takes that something to fall to the ground?

click on intro and shoot the cannon a few times at different velocities (don't change the angle of the cannon yet). Then use the measurement tool for when the different trajectories hit the ground. What do you find?

if you point the cannon into the air at an angle, each trajectory hits at a different time, why?

click "components" under velocity vectors, and shoot the cannon with a low velocity. What do you notice about the horizontal velocity as the ball follows the trajectory?

What do you notice about the vertical velocity as the ball follows the trajectory?

Watch the following video on Projectile motion. Do you have any questions?

Take a section you think you understood pretty well from the video and summarize it here.

Every projectile motion curve with only one constant acceleration is a quadratic equation that looks like this: what do $v_0$ and $x_0$ stand for?

John is given the acceleration due to gravity, the initial velocity in the y-direction :40 m/s, and the initial position of the projectile: 10m. he takes the equation and turns it into and uses the quadratic formula to find t. What is he trying to figure out?

what would he have to do differently if he was told that the initial velocity was 40 m/s at a 45 degree angle from the horizontal?

What is the length of$\vec{b}+\vec{c}$

What is the length of $\vec{b}-\vec{c}$

you can express the vector a+b as two vectors, one horizontal and one vertical. Which is the horizontal. please use the \hat{i} or \hat{j} notation. you can do that using typing in \hat

Rosa Boat is paddling upstream at 1.4 m/s relative to the water in a river which is flowing at 0.50 m/s relative to the banks of the river. which diagram shows the resultant velocity of Rosa's boat (relative to the banks)?

Rosa's boat is paddling upstream at 125 cm/s relative to the water in a river which is flowing at 50 cm/s relative to the banks of the river. What is the resultant velocity of Rosa's boat (relative to the banks)?

what would you guess roughly the velocity vs time graph would look like? Consider: when does the velocity change from positive to negative? when is the velocity 0?

What does the acceleration graph look like?

From the discussion in class and your lab from last weekend, does the horizontal velocity of something moving in the horizontal direction change how long it takes that something to fall to the ground?

click on intro and shoot the cannon a few times at different velocities (don't change the angle of the cannon yet). Then use the measurement tool for when the different trajectories hit the ground. What do you find?

if you point the cannon into the air at an angle, each trajectory hits at a different time, why?

click "components" under velocity vectors, and shoot the cannon with a low velocity. What do you notice about the horizontal velocity as the ball follows the trajectory?

What do you notice about the vertical velocity as the ball follows the trajectory?

Click on the "component" under acceleration vector. and watch it when you fire the cannon. What do you notice?

Just play with the simulation for a while. what are some things you notice

What questions do you have from the simulation?

Watch the following video on Projectile motion. Do you have any questions?

Take a section you think you understood pretty well from the video and summarize it here.

Every projectile motion curve with only one constant acceleration is a quadratic equation that looks like this: what do $v_0$ and $x_0$ stand for?

John is given the acceleration due to gravity, the initial velocity in the y-direction :40 m/s, and the initial position of the projectile: 10m. he takes the equation and turns it into and uses the quadratic formula to find t. What is he trying to figure out?

what would he have to do differently if he was told that the initial velocity was 40 m/s at a 45 degree angle from the horizontal?

Click on the "component" under acceleration vector. and watch it when you fire the cannon. What do you notice?

Just play with the simulation for a while. what are some things you notice

What questions do you have from the simulation?

Every projectile motion curve with only one constant acceleration is a quadratic equation that looks like this:
what do $v_0$ and $x_0$ stand for?

John is given the acceleration due to gravity, the initial velocity in the y-direction :40 m/s, and the initial position of the projectile: 10m. he takes the equation
and turns it into
and uses the quadratic formula to find t. What is he trying to figure out?

Every projectile motion curve with only one constant acceleration is a quadratic equation that looks like this:
what do $v_0$ and $x_0$ stand for?

John is given the acceleration due to gravity, the initial velocity in the y-direction :40 m/s, and the initial position of the projectile: 10m. he takes the equation
and turns it into
and uses the quadratic formula to find t. What is he trying to figure out?