In lab 1, you will be studying the one-dimensional motion of a cart moving along an inclined track. The cart's motion is modelled as occurring at constant acceleration, where the cart and track are considered frictionless. Graphs of position, velocity, and acceleration vs time Figure 1 - Incline Track Setup x positive Origin Consider the following motion: The cart's initial position is the bottom of the track. You give it a push up. The cart freely rolls up, comes to rest instantaneously, then rolls back down. Question 1. On Figure 1, draw an arrow showing the direction of the cart's acceleration. Question 2. Based on this description, sketch on the axes on the next page the graphs of position x, velocity v and acceleration a of the cart as a function of time t. Question 3. Identify on each graph the turning point of the cart's trajectory. Question 4. On the x-vs-t and v-vs-t sketches, identify and label: a. the time interval during which the cart is speeding up, b. the time interval during which the acceleration of the cart is positive
In lab 1, you will be studying the one-dimensional motion of a cart moving along an inclined track. The cart's motion is modelled as occurring at constant acceleration, where the cart and track are considered frictionless. Graphs of position, velocity, and acceleration vs time Figure 1 - Incline Track Setup x positive Origin Consider the following motion: The cart's initial position is the bottom of the track. You give it a push up. The cart freely rolls up, comes to rest instantaneously, then rolls back down. Question 1. On Figure 1, draw an arrow showing the direction of the cart's acceleration. Question 2. Based on this description, sketch on the axes on the next page the graphs of position x, velocity v and acceleration a of the cart as a function of time t. Question 3. Identify on each graph the turning point of the cart's trajectory. Question 4. On the x-vs-t and v-vs-t sketches, identify and label: a. the time interval during which the cart is speeding up, b. the time interval during which the acceleration of the cart is positive
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Transcribed Image Text:Lab #1: One-Dimensional Motion
Preparation for the lab
SUBMIT TO THE OMNIVOX DROPBOX BY 10 PM THE EVENING BEFORE THE LAB (AS A SINGLE PDF)
Name:
In lab 1, you will be studying the one-dimensional motion of a cart moving along an inclined
track. The cart's motion is modelled as occurring at constant acceleration, where the cart and
track are considered frictionless.
Graphs of position, velocity, and acceleration vs time
Figure 1 - Incline Track Setup
x positive
Origin
Consider the following motion:
The cart's initial position is the bottom of the track. You give it a push up. The cart freely rolls
up, comes to rest instantaneously, then rolls back down.
Question 1. On Figure 1, draw an arrow showing the direction of the cart's acceleration.
Question 2. Based on this description, sketch on the axes on the next page the graphs of
position x, velocity v and acceleration a of the cart as a function of time t.
Question 3. Identify on each graph the turning point of the cart's trajectory.
Question 4. On the x-vs-t and v-vs-t sketches, identify and label:
a. the time interval during which the cart is speeding up,
b. the time interval during which the acceleration of the cart is positive
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Step 1: Determine the given data:
VIEWStep 2: 1) Draw the direction of the carts acceleration:
VIEWStep 3: 2) Based on the description draw the x vs t, v vs t and a vs t graph:
VIEWStep 4: 3) Identify the turning points:
VIEWStep 5: 4) a) Identify the time when the cart is speeding up:
VIEWStep 6: 4b) Identify the time when the acceleration is +ve:
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