JeopardyVectorComponents Equations

Concepts Calcu-lations

PrettyPictures

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Final Jeopardy

$100 – Vector Components

Of X and Y, the one that denotes “vertical”

$100 Question: Vector Components

What is Y?

$200 -- Vector Components

Cos (600).

$200 Question: Vector Components

What is 0.5?

$300 -- Vector Components

If I have VX and VY, how I find the angle θ thatV makes with the horizontal.

$300 Question: Vector Components

What tan-1 (VY/VX)?

$400 -- Vector Components

V0X if V0 = 20 m/s and θ = 250

$400 Question: Vector Components

What is 18.126 m/s?

$500 -- Vector Components

V0Y if V0 = 30 m/s and θ = 670.

$500 Question: Vector Components

What is 27.615 m/s?

$100 -- Equations

It is the equation for vertical free fall distancefrom rest in terms of Y – Y0.

$100 Question: Equations

What is Y – Y0 = ½ gt2?

$200 -- Equations

The equation for finding V0Y if you don’t knowthe angle θ (i.e. V0Y in terms of g and total time of flight) .

$200 Question: Equations

What isV0Y = g*t/2, where t = total time of flight?

$300 -- Equations

V0X in terms of distance and time.

$300 Question: Equations

What is V0X = d/time?

$400 -- Equations

V0X and V0Y in terms of θ.

$400 Question: Equations

What are V0 cos(θ) and V0 sin(θ)?

$500 -- Equations

The equation for Y – Y0 that includestime, acceleration and V0Y.

$500 Question: Equations

What is Y – Y0 = V0Y*t – ½ g* t2?

$100 -- Concepts

This is the vertical speed of a projectileat the apex of its trajectory.

$100 Question: Concepts

What is 0?

$200 -- Concepts

This is the mathematical name for the shapeof the trajectory of an object undergoingprojectile motion.

$200 Question: Concepts

What is parabolic (or a parabola)?

$300 -- Concepts

It is the direction of acceleration when a projectile is moving upwards.

$300 Question: Concepts

What is down?

$400 -- Concepts

It is the length of time for a projectileto reach the apex of its trajectory if thetotal time of flight is T seconds.

$400 Question: Concepts

What is T/2 seconds?

$500 -- Concepts

If a projectile lands at the same height from which it was fired, this is the speed with whichit hits the ground if its initial speed was V0.

$500 Question: Concepts

What is V0?

$100 -- Calculations

If a projectile is fired at an angle of 300 andat an initial speed of 22 m/s, this is the lengthof time it will take to go 45 m horizontally.

$100 Question: Calculations

What is 2.36 sec?

$200 -- Calculations

If a projectile is fired at an angle of 400 andat an initial speed of 20 m/s, this is the lengthof time it will take to reach the apex of itstrajectory.

$200 Question: Calculations

What is 1.31 sec?

$300 -- Calculations

If a ball is thrown horizontally with a speed of25 m/s off a 120m cliff, this is how long it will take for the ball to hit the ground.

$300 Question: Calculations

What is 4.95 sec?

$400 -- Calculations

If a ball is thrown horizontally with a speed of25 m/s off a 120m cliff, this is how far from the edge of the cliff it travels before it hits the ground.

$400 Question: Calculations

What is 123.75 m?

$500 -- Calculations

A plane flying horizontally at a speed of 200 m/s drops a care package from a height of 1000m. Whenthe care package hits the ground, these are the magnitude and direction (measured from the positiveX-axis) of its final velocity.

$500 Question: Calculations

What are Vf = 244 m/s and θ = 3250?

$100 – Pretty Pictures

If the V0 vectors in these three graphs are the sameMagnitude, this graph corresponds to a trajectoryWith the highest max height.

$100 Question: Pretty Pictures

What is the one on the left?

$200 -- Pretty Pictures

If the V0 vectors in these three graphs are the sameMagnitude, this graph corresponds to a trajectoryWith the maximum range.

$200 Question: Pretty Pictures

What is the one in the middle?

$300 -- Pretty Pictures

If the V0 vectors in these three graphs are the sameMagnitude, this graph corresponds to a trajectoryWith the lowest max height.

$300 Question: Pretty Pictures

What is the one on the right?

$400 – Pretty Pictures

If the V0 vectors in these three graphs are the sameMagnitude, this graph corresponds to a trajectoryWith largest V0X.

$400 Question: Pretty Pictures

What is the one on the right?

$500 -- Pretty Pictures

If the V0 vectors in these three graphs are the sameMagnitude, this graph corresponds to a trajectoryWith largest V0Y.

$500 Question: Pretty Pictures

What is the one on the left?

Final Jeopardy

Jessica paddles at 3 m/s due West and a current carries her 4 m/s to the North, so this is the magnitude of the vector that describes her velocity.

Final Jeopardy Answer

What is 5 m/s?