# Problem 2-99 - v-t graph - Part 7 - (b)

Two cars, $A$ and $B$, are stopped for a red light beside each other at an intersection. The light turns green and the cars accelerate. Their velocity time graphs are shown in the figure below. (The positive direction is "forward.")

(a) At what time(s) do $A$ and $B$ have the same velocity?
(b) When does $B$ overtake $A$? (Hint: Their displacements must be equal at that time and displacement can be found from a velocity time graph.)
(c) How far have the cars traveled when $B$ overtakes $A$?

Accumulated Solution

The velocities are equal at $t = 45\; s$
$d_{A,60} = (1/2)(15\;m/s)(30\;s) + (15\;m/s)(30\;s) = 675\; m$
$d_{B,60} = (1/2)(20\;m/s)(60\;s) = 600\; m$

No. Look at the graph.

Try again.
The passage contains multiple questions related to the velocity-time graphs of two cars, and some answers are provided, but not for all questions.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Problem 2-99 - v-t graph - Part 7 - (b)

Two cars, $A$ and $B$, are stopped for a red light beside each other at an intersection. The light turns green and the cars accelerate. Their velocity time graphs are shown in the figure below. (The positive direction is "forward.")

(a) At what time(s) do $A$ and $B$ have the same velocity?
(b) When does $B$ overtake $A$? (Hint: Their displacements must be equal at that time and displacement can be found from a velocity time graph.)
(c) How far have the cars traveled when $B$ overtakes $A$?

Accumulated Solution

The velocities are equal at $t = 45\; s$
$d_{A,60} = (1/2)(15\;m/s)(30\;s) + (15\;m/s)(30\;s) = 675\; m$
$d_{B,60} = (1/2)(20\;m/s)(60\;s) = 600\; m$

No. Look at the graph.

Try again.
user
The passage contains multiple questions related to the velocity-time graphs of two cars, and some answers are provided, but not for all questions.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS