Equations
Graph Math
Speed vs. Velocity
Acceleration
& Free Fall
& Free Fall
Projectile Motion
200
The equation for average velocity.
v_(avg) = (∆x)/(∆t)
200
This is equal to the slope of a position-time graph.
velocity
200
Does a car speedometer measure speed, velocity, or both?
Speed only
200
A shiny new yellow sports car accelerates at 15 km/hr2 from rest. How fast is it going after 7 seconds?
105 km/hr
200
This is the time a motorcycle falls if it speeds horizontally off a 125m high cliff.
5 seconds
400
This equation for average acceleration.
a_(avg) = (∆v)/(∆t)
400
This is equal to the slope of a velocity-time graph.
acceleration
400
This is the velocity of a student who drives 5 miles West, 10 miles North, 3 miles East, 3 miles South, 1 mile West, and then finally 7 miles South in a total of 2 hours.
1.5 mph West
400
This is the acceleration of a red line train that goes from rest to 40 km/s in 6 seconds.
6.7 m/s2
400
This is the time a football is in the air when it is kicked with vertical component vy = 10 m/s and horizontal component vx = 12 m/s.
2 seconds
600
This is an equation to find final velocity when you have initial velocity, acceleration, and time.
v_f=v_i+at
600
This is equal to the area under a v-t graph.
displacement
600
The amount of time it takes a train to travel 490 miles if it's moving at 50 mph.
9.8 hours
600
This is the time it takes for a ball to hit the ground if it is thrown upwards at 20 m/s.
4 seconds
600
This is the horizontal displacement of a football when it is kicked with vertical component vy = 10 m/s and horizontal component vx = 12 m/s.
24 meters
800
This is an equation to find displacement when you have initial velocity, acceleration, and time.
∆x=v_it+1/2at^2
800
250 m/s
800
It takes an airplane 45 minutes to fly from Boston to New York City. How far apart ar these cities if the plane is travelling at 407 km/hr?
305 km
800
Amy is driving a car with an acceleration of -3 m/s2. She started out driving with a velocity of 12 m/s. How fast is she going after 3.5 seconds?
1.5 m/s
800
This is how far away a cannonball lands when it is shot horizontally off of a 196m cliff at vx = 8.5 m/s.
53.2 meters
1000
This is an equation to find the time it will take an object to fall if you know the height it is dropped.
t=sqrt((2y)/(g))
1000
8,125 m
1000
A car traveling 88 km/hr is 110 m behind a truck traveling 75 km/hr. How long will it take the car to reach the truck.
8.46 seconds
1000
This is the maximum height a ball reaches if it is thrown upwards at 20 m/s.
20 meters
1000
A baseball rolls off a 1.20 m high desk and strikes the floor 0.50 m away from the base of the desk. How fast was it rolling?
1.02 m/s