Speed and velocity are nearly the same quantity, except velocity has this.
Direction
An object is raised some distance above ground level and released from rest. This is the origin of the coordinate system.
On the object, at its starting location
This is the vertical axis for a position and time graph.
Position
All projectile problems use the same set of kinematic equations. This is the one main difference between the two types of problems.
Horizontal --> 0 degrees
Angled --> # degrees
This celebrity interrupted Taylor Swift's VMA acceptance speech in 2009.
Kanye West
This is the difference between the initial and final positions of a moving object.
If you want to know how high an object goes when thrown, you need to know this quantity in order to solve your kinematic equation(s).
tapex = (1/2)tflight
This vector quantity can be found from the slope of a position vs. time graph.
velocity
A soccer ball is kicked with an initial velocity of 36 m/s at an angle of 50 degrees. This is the horizontal acceleration just after it is kicked.
0 m/s2
Green Day
These are the two equations you should use if you are asked to find average velocity or average acceleration.
v = delta x / delta t
a = delta v / delta t
22.15 m/s
This quantity can be found by calculating the area under the curve on a position vs. time graph.
displacement
A golfer wants to hit his golf ball further. This is the angle he should launch the golf ball for it to reach the maximum range.
45 degrees
This iconic fighter aircraft made an entertaining cameo behind enemy lines in 2022's Top Gun Maverick.
F-14 Tomcat
An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until it lifts off the ground. Determine the distance traveled before takeoff.
1721.3 m
A ball is thrown upward in the air with an initial velocity of 40 m/s. This is the time it takes to return to the point it was thrown from.
8.16 s
If an object is accelerating, the position vs. time graph will have this shape.
parabola
A soccer ball is kicked horizontally off a 22.0 meter high hill and lands a distance of 35.0 meters from the edge of the hill. Determine the initial horizontal velocity of the soccer ball.
16.67 m/s
This novel by JRR Tolkien tells the ancient history of Middle Earth and beyond.
The Silmarillion
An engineer designs the runway of an airport. One plane has an acceleration of 3 m/s2 and a takeoff speed of 65 m/s. The runway must be this long.
704.17 m
A girl hits a volleyball from a height of 0.8 m above the ground with an initial velocity straight up of 7.5 m/s. The volleyball reaches this height.
3.67 m above the ground
Linearization
A projectile is launched at 32.1 m/s and 52.6° above the horizontal. Determine the time in the air, the horizontal displacement, and the peak height.
t = 5.204 s
x = 101 m
y = 33.2 m
By rough estimates, this communist dictator is responsible for the deaths of 60 million citizens due to starvation and terror campaigns during the "Great Leap Forward" from 1958 to 1961.
Mao Zedong