Kinematics
Equations for kinematics
Application to the cart's motion:
1. Xf= 0.0+0.0(1.2)+1/2(2.67)(1.2)^2
= 1.9224
2. Vf= 0.0+2.67(1.2)
= 3.204
3. Vf^2= 0.0^2+ 2(2.67)(1.9224-1.8)
=0.653616
1. This equation showed the final position of the cart as it rolled down the ramp. We could calculate the final position of the car by using the height of the ramp, the acceleration of the cart, the time it took for the cart to roll down, and the velocity.
2. With this formula you can find the initial position, final position, the acceleration of the cart, and the time it took if you didn't know. To calculate the final velocity you need the initial velocity, the acceleration of the cart and the time it took.
3. In this equation there is a delta that needs measurements to be plugged it. This equation is used to find the final velocity of the cart. You need the initial velocity, the acceleration of the cart, the position and the final position and initial position(delta).
Variables for the kinematics equations:
i = initial
t = time
a = acceleration
x = position
v = velocity
f = final
∆ = delta
Position vs. time graph:
Velocity vs. time graph:
Application to the cart's motion:
1. Xf= 0.0+0.0(1.2)+1/2(2.67)(1.2)^2
= 1.9224
2. Vf= 0.0+2.67(1.2)
= 3.204
3. Vf^2= 0.0^2+ 2(2.67)(1.9224-1.8)
=0.653616
1. This equation showed the final position of the cart as it rolled down the ramp. We could calculate the final position of the car by using the height of the ramp, the acceleration of the cart, the time it took for the cart to roll down, and the velocity.
2. With this formula you can find the initial position, final position, the acceleration of the cart, and the time it took if you didn't know. To calculate the final velocity you need the initial velocity, the acceleration of the cart and the time it took.
3. In this equation there is a delta that needs measurements to be plugged it. This equation is used to find the final velocity of the cart. You need the initial velocity, the acceleration of the cart, the position and the final position and initial position(delta).
Variables for the kinematics equations:
i = initial
t = time
a = acceleration
x = position
v = velocity
f = final
∆ = delta
Position vs. time graph:
Velocity vs. time graph:
The graph shown here is showing velocity vs. time. In the graph the dips slightly a little after 0.2 seconds, dips a little bit more at the 0.6 second mark and at 1 second the line dips again. The dips in the graph either indicates that there was a glitch in the TRACKER program or there was bumps on the ramp that caused the velocity to not be constant.