meters
A unit for distance
The total path between start and end points.
Distance
Maddy ran 3 meters in 3 seconds. What was Maddy's average speed?
1 meter per second
Write a formula for acceleration. Provide appropriate units.
Acceleration = (final velocity - initial velocity)/time
Units = any distance divided by time squared (with direction)
The kinematics equation that you can use if you do not know (or need to find) the time of motion.
vf2 = vi2 + 2ax
miles South
a unit for displacement
Elissa walks 3 meters South, then 4 meters North, then 2 meters South. What distance did Elissa travel?
9 meters
Displacement over a period of time
Velocity
A sloth starts from rest and accelerates to a velocity of 1 meter per second North in 100 seconds. What is the sloth's acceleration? - Write your answer as a fraction.
1/100 m/s2
The kinematics equation you would use to solve a problem given this information:
initial velocity, distance, acceleration
find: time
distance = vit + (1/2)at2
kilometers per day
a unit for speed
Elissa walks 3 meters South, then 4 meters North, then 2 meters South. What was Elissa's displacement?
1 meter South
S<-- <-- <-- X (start)--> --> --> --> N
S <-- <--
300 meters
True or false. An object can be accelerating at constant speed?
True - acceleration also includes changes in direction.
The simplified equation you can use any time you are working with objects in free fall that start with zero velocity.
distance = (1/2)gt2 (where g = acceleration due to gravity)
hectometers per second Northeast
a unit for velocity
Velocity is _________ over time.
Displacement
Which runner started the race with the greatest speed?
C
Acceleration due to gravity.
- 9.8 m/s2 ... Free fall acceleration
Roman is skating at an initial velocity of 2 m/s. Roman increases their speed to 3 m/s over a time of 10 seconds. How far does Roman travel during this time?
distance = (1/2)(vi + vf)(t)
distance = (1/2)(2 m/s + 3 m/s)(10 s)
distance = 25 meters
miles per hour per second
a unit for acceleration
Juanita runs 30 meters North then 40 meters West. What was Juanita's displacement?
50 meters North West (use the Pythagorean Theorem 302 + 402 = 502)
Sketch a position vs time graph showing an object traveling at a constant speed. Then sketch a matching speed vs time graph.
Position vs time graph - sloping straight line
Speed vs time graph - straight, horizontal line
Sketch a velocity time graph showing the motion of an object experiencing acceleration.
Slanted or curved line or line changing direction + to -
You shoot a marble with an initial horizontal velocity of 10 m/s off the edge of a 2 meter high table. How long will it take the marble to hit the ground? Bonus - how far away from the edge of the table will the marble land?
distance = (1/2)gt2
-2 meters = (1/2)(-9.8 m/s2)t2
time = 0.63 seconds
distance = initial velocity * time
distance = 6.3 meters