Graphing
If the line on a position vs. time graph is a curve, the line on an acceleration vs. time graph will look like this.
What is a horizontal line above or below zero?
This is the relationship between the launch and landing velocities of an object projected vertically.
What is Equal but Opposite signs?
This is the velocity of an object that travels 500 meters in 10 seconds.
What is 50m/s?
This is the rate of acceleration for a horizontal object that went from rest to 17m/s in 30 seconds.
What is 0.57 m/s/s?
This is what it means for a horizonal object when the line on a velocity vs. time graph starts at a positive number, crosses the zero and continues downward.
What is an object moving foward slows to a stop and begins moving backwards?
In a velocity vs. time graph, where a line appears horizontal (above or below zero), the object is doing this.
What is maintaining a constant velocity (non zero).
This is the velocity of an object that is thrown upward at 40 m/s after 2 seconds.
What is 20.4 m/s?
This is the velocity of an object that travels 3 km in 4 minutes, put into m/s.
What is 12.5m/s?
This is how long it will take a cart that has an acceleration of 1.2 m/s/s to go from 3m/s to 15m/s.
What is 10 seconds?
This is the final velocity for a horizontal object that has an acceleration of 1.2 m/s/s, and initial velocity of 5 m/s and travels for 90 meters.
What is 15.5 m/s?
This is the shape of a position vs. time graph with two runners (separate lines).
Runner 1: constant velocity from zero reaching 100m in 20s
Runner 2: gradually accelerating to 100m in 20s
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(one slope and one upward curve ending at the same point)
This is the time that it takes for an object launched upwards at 50 m/s to go up and come back down (neglect terminal velocity).
What 10.2 seconds?
This is how long it will take for a car traveling 8 m/s to travel 160 meters.
What is 20 seconds?
This is the final velocity of a horizontal object that started at rest and experienced an acceleration of 3.2m/s/s for 8 seconds.
What is 25.6 m/s?
This is the acceleration of a horizontal object that started at 13m/s and traveled 100 meters over a period of 35 seconds.
What is -0.58 m/s/s?
This is the progression of a decelerating (horizontal) object on the three graphs side by side - position, velocity, acceleration vs. time
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(downward curve, downward slope, horizontal below zero)
This is how long it will take a rock to fall from a height of 200 meters.
What is 6.4 seconds?
This is how far a car that is traveling at 25m/s for 1 hour will move.
What is 90,000 meters or 90 km?
This is the distance covered by a horizontal object that started at rest and accelerated at 0.5m/s/s for 15 seconds.
What is 56.25 meters?
This is how many minutes it will take a horizontal object to reach 73 km if it starts from rest and has an acceleration of 9 m/s/s.
What is 2.1 mintues?
This is what the position vs. time, velocity vs. time and acceleration vs. time graphs will look like for a baseball tossed straight up and falling back into the player's hand.
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Position vs. time - looks like a hill
Velocity vs. time - diagonal from highest + velocity to highest - velocity
Accel vs. time - horizontal at -9.8
These are the time and final velocity of a rock just before it hits the ground if it was tossed upwards at 10 m/s off a platform 3 meters above the ground.
What are 2.3 seconds, -12.6 m/s?
(Takes 1.02s to get 5.1m to the apex. So, it freefalls from 8.1m in 1.29s w final vel of -12.6 m/s)
This is how long it will take a truck traveling at 18m/s to travel 12 km, in minutes.
What is 11.1 minutes?
What was the initial velocity of a van that skidded for 25 meters once it locked its brakes up while experiencing an acceleration of -0.9 m/s/s
What is 6.7 m/s?
This is how far a soccer ball will travel if it is kicked horizontally with an initial velocity of 20 m/s, experiences an accleration along the field of -1.8 m/s/s and is stopped by a defenseman with a final velocity of 15 m/s.
What is 48.6 meters?