Projectile Motion (with g=10m/s/s)
Free-Fall (with g=10m/s/s)
Trigonometry
Vector Addition
Circles -- Not Just Motion
100
The velocity component that is zero at the highest point in a basketball's arc.
Y velocity
100
The velocity of a free-falling object 4 seconds after its velocity was 10m/s.
-30m/s
100
"Opposite"/"hypoteneuse"
Sine
100
The direction of the resultant...
Eastward
100
The direction of acceleration for an object traveling in a circle at a constant speed.
toward the center
200
This velocity vector has the same initial, final, and average values.
X velocity
200
Distance fallen by a dropped ball after 6 seconds.
180m
200
"opposite"/"adjacent"
Tangent
200
In a typical river problem, one of the three vectors is not the actual velocity of anything, and this is how that vector is described.
Speed in still [water] and heading
or
[water] speed and heading
200
When a string is causing a ball to travel in vertical circles, this is the tension in the string at the top, in terms of the m (ball's mass), v (ball's speed), and r (radius of the circles)
mv2/r -mg or m(v2/r -g)
300
Of v, vx, and vy, this is the only vector whose direction is always tangent to the object's path.
v
300
Height reached by a vertically thrown ball with a hang time of 8s.
80m
300
If theta is the angle between the horizontal and vector V, this vector has a magnitude of v*cos(theta).
Vx
300
It's the third vector in a typical 3-vector river problem where the two provided vectors are 1) an object's velocity, and 2) its heading + its speed in still water.
Velocity of the current (or the surroundings through or across which the object is traveling)
300
The speed of an astronaut in who is rotating in a space station with a radius of 5m, and who feels normal Earth gravity.
7m/s
400
The sine of twice the launch angle for a symmetric flight, if the initial speed is 10m/s and the range is 10m.
1
400
The point in free-fall when acceleration is zero.
Never
400
This is how you find the angle between a vector V and the horizontal, if you have Vx and Vy.
Tan^-1("Vy"/"Vx")
400
Direction of the other component vector...
Westward
400
When a string is causing a ball to travel in vertical circles, this is the tension in the string at the bottom, in terms of the m (ball's mass), v (ball's speed), and r (radius of the circles)
mv2/r + mg or m(v2/r + g)
500
The initial speed of an object that is launched horizontally from a 1.25m high table, and which hits the floor 1m away from the table.
2m/s
500
The time aloft for a ball thrown directly upward at 10m/s from a height of 40m and landing at ground level (0m).
4s
500
If g=10, this is the cosine of the launch angle of a projectile that travels 240m horizontally during an 6 second symmetric flight.
0.8
500
The magnitudes of two forces that can, when oriented in the proper directions, be added together to produce any resultant force from 10N to 40N, inclusive.
15N and 25N
500
The maximum amount of time it would take for a car to drive through a loop-the-loop of radius r at a constant speed, without losing contact with the road -- in terms of g and r.
