What was the car's velocity at t=0?

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Homework Help Overview

The problem involves a car accelerating at a constant rate along a straight road, with specific time intervals and distances provided. The objective is to determine the car's velocity at t=0 based on the given conditions.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the average speed over a specified time interval and question how to relate this to the initial velocity. There is uncertainty about the implications of average speed and its timing.

Discussion Status

Some participants have calculated the average velocity over the interval and are exploring the relationship between initial and final velocities. There is ongoing clarification regarding the timing of average speed and its relevance to the problem.

Contextual Notes

Participants are navigating the concepts of average speed and constant acceleration, with some uncertainty about the definitions and implications of these terms in the context of the problem.

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Homework Statement


A car accelerates at 1.75 m/s2 along a straight road. It passes two marks that are 30.3 m apart at times t=3.80 s and t=5.15 s. What was the car's velocity at t=0?


Homework Equations





The Attempt at a Solution


Im actually not quite sure how to approach this question. Is there some way that i can find the velocity at the beginning of the time interval that is given?
 
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What is the average speed over the interval from 3.8s to 5.15 s?

exactly when does the car have this average speed?
 


the average velocity over that time interval is 22.4 m/s. but I am not sure what you mean by:
willem2 said:
exactly when does the car have this average speed?
 


indietro said:
the average velocity over that time interval is 22.4 m/s. but I am not sure what you mean by:

if the car goes has speed [itex]v_i[/itex] at the start of the interval and [itex]v_f[/itex] at
the end of the interval, its average speed is [itex](v_i + v_f)/2[/itex]. The speed at _______
is also [itex](v_i + v_f)/2[/itex]. (with constant acceleration)
 


so the middle of the interval (4.48s) would also have the velocity of 22.4 m/s ??
 

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