---
title: Acceleration, Velocity and Time
topic: Kinematics(1D)
author: John Hopkinson
source: PHYS 112 2016 W1 Midterm 1 Q3 and Q4
template_version: 1.3
attribution: standard
partialCredit: true
singleVariant: false
showCorrectAnswer: false
outcomes:
- 4.1.1.1
- 4.6.1.4
- 4.7.1.2
difficulty:
- medium
randomization:
- 0
taxonomy:
- undefined
span:
- section
length:
- average
tags:
- EW
assets:
- agraphs.png
- vgraph.png
part1:
  type: multiple-choice
  pl-customizations:
    weight: 1
    fixed-order: true
part2:
  type: multiple-choice
  pl-customizations:
    weight: 1
myst:
  substitutions:
    params:
      vars:
        title: Acceleration, Velocity and Time
      part1:
        ans1:
          value: Option A
        ans2:
          value: Option B
        ans3:
          value: Option C
        ans4:
          value: Option D
        ans5:
          value: Option E
      part2:
        ans1:
          value: Never
        ans2:
          value: 3.225 $s$
        ans3:
          value: 1.5 $s$
        ans4:
          value: 2 $s$
        ans5:
          value: 2.866 $s$
---
# {{ params.vars.title }}
For this problem, refer to the following figure.

Top: The x-component of a velocity vs. time graph is shown for an object:

<img src="vgraph.png" alt= "The top graph is velocity vs time of an object where at t=0 the velocity is negative 1, from t=1 to t=1.5 the velocity is negative 2, at t=2 the velocity is 0. After t=2 the velocity continually increases." width = 500>

Bottom: Below are *possible* options of that same object's "acceleration vs. time" graph:

<img src="agraphs.png" alt="There are 5 graphs depicted below the velocity vs time graph. The 5 graphs depict acceleration vs time and are labelled A through E. Graph A is the same shape as the top graph. Graph B shows a negative acceleration from t=0 to t=1 and a positive acceleration from t=1.5 onwards. Graph C shows a positive acceleration from t=0 to t=1 and a negative acceleration from t=1.5 onwards. Graph D shows a negative acceleration curve that reaches the lowest at around t=2 and is 0 at t=3. Graph E shows increasing positive acceleration from t=0 to t=1, from t=1.5 and onwards the acceleration decreases." width=700>

## Part 1

Of the listed acceleration vs. time graphs shown in the bottom figure, which is consistent with the velocity vs. time graph shown in the top figure?

### Answer Section

- {{ params.part1.ans1.value}}
- {{ params.part1.ans2.value}}
- {{ params.part1.ans3.value}}
- {{ params.part1.ans4.value}}
- {{ params.part1.ans5.value}}

## Part 2

If the initial position of the object whose velocity vs. time graph is shown in the figure (Top) is $x_0$ = 0 $m$, at what time does the object return to the position $x$ = 0 $m$ ?

### Answer Section

- {{ params.part2.ans1.value}}
- {{ params.part2.ans2.value}}
- {{ params.part2.ans3.value}}
- {{ params.part2.ans4.value}}
- {{ params.part2.ans5.value}}

## Attribution

Problem is licensed under the [CC-BY-NC-SA 4.0 license](https://creativecommons.org/licenses/by-nc-sa/4.0/).<br> ![The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.](https://raw.githubusercontent.com/firasm/bits/master/by-nc-sa.png)