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

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Graphs of position, velocity, and acceleration vs time
Figure 1-Incline Track Setup
Consider the following motion:
à
x positive
Origin
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
Transcribed Image Text:Graphs of position, velocity, and acceleration vs time Figure 1-Incline Track Setup Consider the following motion: à x positive Origin 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
X
a
Transcribed Image Text:X a
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