Have a Nice Trig!
See You Next Fall!
See You Next Fall!
Victor, What Was That Vector Again?
Ready, Aim, FIRE!
Mathematical!
Planetary Trivia 2: Electric Boogaloo
100
You have the lengths of two sides in a triangle and need to find the length third side. What are you going to use to find it?
Pythagorean Theorem
100
Name as many vector quantities as you can. 100 pts for each correct answer.
Displacement, Velocity, Acceleration, Force, Momentum, Field Strength
100
A lemming runs at 10 m/s off of a 5 m cliff side. What is their velocity in the y direction just as they leave the cliff?
0 m/s
100
A pirate runs at 3 m/s horizontally off the plank and hits the water 1.2 seconds later. How far away from the ship does the pirate hit the water?
3.6 m
100
This former planet barely got through 1/3 of its total orbit between when it was discovered, and when it was demoted to 'dwarf planet.'
Pluto
200
You have the magnitude of an angle and the length of a side opposite the angle. What are you going to use to find the length of the adjacent side? Be specific!
Tangent
200
A projectile is launched with some angle above the horizontal. In what direction is its velocity at the peak of its trajectory?
x direction (horizontal)
200
What is the acceleration of a projectile in the x direction?
0 m/s/s
200
A pirate runs at 3 m/s horizontally off the plank which sits 12 m above the water. How long does it take the pirate to hit the water?
1.56 s
200
Most of the 'dwarf planets' in the Solar System are very far away from the Sun, and as such are grouped together under a category with the abbreviation "TNO". This means they are all found beyond the orbit of what planet?
Neptune
300
You have the length of a side adjacent to an angle and the length of the hypotenuse. What will you use to find the magnitude of the angle? Be specific!
Inverse cosine
300
A tennis ball is hit at some angle above horizontal and it travels through the arc of its trajectory. Ignoring air resistance, where along its trajectory is the speed of the tennis ball at maximum and at minimum?
Minimum speed is at the highest point.
Maximum speed is at launch/landing
300
What launch angle causes a projectile to have its maximum range?
45°
300
A pirate runs at 3 m/s horizontally off the plank which sits 12 m above the water. What is the pirate's velocity in the y direction after 1.2 seconds?
-11.76 m/s
300
All of the planets in the solar system rotate counterclockwise, when viewed from above their North Pole, with the exception of this beautiful planet.
Venus
400
Find the missing angle
/|
/ x|
/ | 17
/ |
/ |
/__________|
16
43.26°
400
In baseball, the pitcher's mound is raised above the playing field to compensate for the fact that the ball drops downwards during the pitch. If baseball were played on the moon, would the mound have to be higher, lower, or at the same height as on Earth? and WHY?
Lower, because the reduced strength of gravity on the moon means its gravitational acceleration is less than it is on Earth. Less gravitational acceleration means that it will fall more slowly during the pitch, and therefore not drop as much between the mound and the plate.
400
D A I L Y D O U B L E
Select a new question that your team will answer for double points. If you do not answer, or are incorrect, you will lose double points, and it becomes a regular question for all other teams.
400
A pirate runs at 2 m/s horizontally off the plank and hits the water 0.75 seconds later. How high above the waterline was the plank?
2.76 m
400
Jupiter is famous for its Giant Red Spot - a storm that is 1.5x the size of the Earth - but this other gas giant planet has a storm 2x the size of the Earth on its north pole that a hexagon(ish) shape.
Saturn
500
Calculate the missing side
|\
| \
|40\
| \ x
| \
| \
|______\
6
9.33
500
Suppose you are driving in a convertible with the top down, driving forward with a constant velocity. Your friend is seated in the backseat with a rifle pointed straight upwards, and they fire a bullet straight upwards. Assuming there is no air resistance, where will the bullet land: behind the car, ahead of the car, or inside the car? and WHY?
With no air resistance to slow it down, and no other horizontal forces present, the bullet experiences no horizontal acceleration. Therefore, the bullet's horizontal velocity is also constant, like the car, and it keeps pace with the car while it moves. In a perfect world, it comes back down and lands back in the barrel of the rifle.
500
You shoot off a cannon at an angle of 35° and it lands 100 yds down a field. What other angle could you shoot off the cannon to have it land at the same point?
55°
500
A pirate runs at 3 m/s horizontally off the plank which sits 12 m above the water. What is the pirates velocity in the y direction as they hit the water?
-15.34 m/s
500
Which planet in the Solar System is physically closest to the Earth can change as all the planets move through their orbits. Which planet spends the most time, during an average Earth year, being the closest?
Mercury