Variables
Linearizing Data
Motion
Kinematic Equations
Motion on a Ramp
100
What variable does x0 represent?
Initial Position
100
The general linear equation for variables that have a hyperbolic relationship is ___ = ______
Use y for the dependent variable and x for the independent variable
y = k/x + b
100
A man walks 50m north and then turns around and walks 30m south. What is his displacement?
20 m north
100
A cyclist starts accelerating in a race at 15 m/s^2 for 20s. Determine the speed the cyclist is going. Identify all the variables.
ax=15m/s2
t=20s
vx0=0m/s
vx=?
100
In the absence of friction and other forces, the equation for the acceleration of an object on an incline is...
a=gsin(theta)
200
What variable does vx0 represent?
Initial Velocity
200
In terms of v and t, the general linear equation for the relationship between velocity and time is...
y = kx + b
200
A man walks 50m in 10s, what is his velocity?
5 m/s
200
A car accelerates uniformly from 30 m/s to 50 m/s in 15 s. Determine the distance the car traveled. What combination of equations can you use to solve this problem?
vx = vx0 + axt & x = x0 + vx0t + 1/2axt2
OR
vx = vx0 + axt & vx2 = vx02 + 2ax(x-x0)
200
The car below accelerates at a rate of... (round to 2 decimal places)
6.93 m/s2
300
What variable does x represent?
Final Position
300
The general linear equation for variables that yield a top opening parabola is...
Use y for the dependent variable and x for the independent variable
y = kx2 + b
300
A car accelerates from +40 m/s to +50 m/s in 5 seconds. What is his acceleration?
2 m/s2
300
An arrow leaves a bow with a velocity of 500 m/s. While accelerating the arrow moves a distance of 1 m. What additional information would you need to solve for final velocity using only one equation?
acceleration
300
The car below accelerates at a rate of... (round to 2 decimal places)
8.49 m/s2
400
What variable does vx represent?
Final Velocity
400
In terms of P and V, the general linear equation for the relationship shown below is...
P = k/V + b
400
A woman walks 500 m in 6 min. What is her speed in m/s? (Round to 1 decimal place)
1.3 m/s
400
A ball is dropped from a height of 1.5 meters. Determine the time for a ball to fall to the floor. (Round to 2 decimal places)
0.55 s
400
A ball initially moving at a velocity of 2 m/s rolls down a ramp that is angled 15 degrees above the horizontal. If the ramp is 4 m long, what is the ball's final velocity? (Round to 2 decimal places)
4.93 m/s
500
Unless otherwise stated, what value do we use for g?
-9.8 m/s2
500
In terms of v for velocity and F for force, the general linear equation for the relationship between velocity and force is...
v=ksqrtF
500
A car drives 600 miles in 6.00 hours. What is the speed in m/s? (0.6 miles in 1 km) (Round to 1 decimal place)
46.3 m/s
500
A man accelerates from rest at 1.6 m/s2 for 24 s. Determine the speed the jogger is going. (Round to 1 decimal place)
38.4 m/s
500
A ball initially initially at rest rolls down a ramp that is angled 60 degrees from the vertical. What is the ball's final velocity after 2s? (Round to 1 decimal places)
9.8 m/s