(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider the acceleration of a particle along a straight line with an initial position of 0 m and an initial velocity of 0 m/s.

1) Calculate the magnitude of the displacement after the car travels the first 5 s.

Answer in units of m.

2) How far does the car travel from 9 s to 13 s, if it does not experience any acceleration during this time period?

Answer in units of m.

3) Calculate the magnitude of the car’s average velocity from 5 s to 9 s.

Answer in units of m/s.

2. Relevant equations

x - x_{0}= v_{0}t + (1/2)at^{2}

3. The attempt at a solution

For 1), I guess I'm confused at how to be reading the graph. I've tried breaking it up into 0 to 1 s, 1 to 3 s, 3 to 4 s, and 4 to 5 s, and using the equation above to find the displacement for each interval, but I'm getting confused as to where the acceleration is located on the graph. For example, is the acceleration at t = 3 s supposed to be 2 m/s^{2}or 0 m/s^{2}?

For 2), when it says that it doesn't experience any acceleration, does that mean acceleration = 0?

For 3), what is the equation for average velocity?

Any help/hints would be appreciated, thanks!

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# Finding the magnitude of a particle from a graph?

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