 # Jeopardy Vector Components Equations Concepts Calcu- lations Pretty Pictures \$100 \$200 \$300 \$400 \$500 \$100 \$200 \$300 \$400 \$500 Final Jeopardy.

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Jeopardy Vector Components Equations Concepts Calcu- lations Pretty Pictures \$100 \$200 \$300 \$400 \$500 \$100 \$200 \$300 \$400 \$500 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 (60 0 ).

\$200 Question: Vector Components What is 0.5?

\$300 -- Vector Components If I have V X and V Y, how I find the angle θ that V makes with the horizontal.

\$300 Question: Vector Components What tan -1 (V Y /V X )?

\$400 -- Vector Components V 0X if V 0 = 20 m/s and θ = 25 0

\$400 Question: Vector Components What is 18.126 m/s?

\$500 -- Vector Components V 0Y if V 0 = 30 m/s and θ = 67 0.

\$500 Question: Vector Components What is 27.615 m/s?

\$100 -- Equations It is the equation for vertical free fall distance from rest in terms of Y – Y 0.

\$100 Question: Equations What is Y – Y 0 = ½ gt 2 ?

\$200 -- Equations The equation for finding V 0Y if you don’t know the angle θ (i.e. V 0Y in terms of g and total time of flight).

\$200 Question: Equations What isV 0Y = g*t/2, where t = total time of flight?

\$300 -- Equations V 0X in terms of distance and time.

\$300 Question: Equations What is V 0X = d/time?

\$400 -- Equations V 0X and V 0Y in terms of θ.

\$400 Question: Equations What are V 0 cos(θ) and V 0 sin(θ)?

\$500 -- Equations The equation for Y – Y 0 that includes time, acceleration and V 0Y.

\$500 Question: Equations What is Y – Y 0 = V 0Y *t – ½ g* t 2 ?

\$100 -- Concepts This is the vertical speed of a projectile at the apex of its trajectory.

\$100 Question: Concepts What is 0?

\$200 -- Concepts This is the mathematical name for the shape of the trajectory of an object undergoing projectile 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 projectile to reach the apex of its trajectory if the total 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 which it hits the ground if its initial speed was V 0.

\$500 Question: Concepts What is V 0 ?

\$100 -- Calculations If a projectile is fired at an angle of 30 0 and at an initial speed of 22 m/s, this is the length of 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 40 0 and at an initial speed of 20 m/s, this is the length of time it will take to reach the apex of its trajectory.

\$200 Question: Calculations What is 1.31 sec?

\$300 -- Calculations If a ball is thrown horizontally with a speed of 25 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 of 25 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. When the care package hits the ground, these are the magnitude and direction (measured from the positive X-axis) of its final velocity.

\$500 Question: Calculations What are V f = 244 m/s and θ = 325 0 ?

\$100 – Pretty Pictures If the V 0 vectors in these three graphs are the same Magnitude, this graph corresponds to a trajectory With the highest max height.

\$100 Question: Pretty Pictures What is the one on the left?

\$200 -- Pretty Pictures If the V 0 vectors in these three graphs are the same Magnitude, this graph corresponds to a trajectory With the maximum range.

\$200 Question: Pretty Pictures What is the one in the middle?

\$300 -- Pretty Pictures If the V 0 vectors in these three graphs are the same Magnitude, this graph corresponds to a trajectory With the lowest max height.

\$300 Question: Pretty Pictures What is the one on the right?

\$400 – Pretty Pictures If the V 0 vectors in these three graphs are the same Magnitude, this graph corresponds to a trajectory With largest V 0X.

\$400 Question: Pretty Pictures What is the one on the right?

\$500 -- Pretty Pictures If the V 0 vectors in these three graphs are the same Magnitude, this graph corresponds to a trajectory With largest V 0Y.

\$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?

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