What Are the Velocity and Acceleration of a Particle at t = 5.0 s?

AI Thread Summary
The discussion focuses on determining the velocity and acceleration of a particle at t = 5.0 s based on a provided velocity-time graph. The particle starts at the origin and moves along the positive x-axis. Key calculations include the particle's coordinate, velocity, and acceleration at t = 5.0 s, as well as average velocity and acceleration between t = 1.0 s and t = 5.0 s. Participants express uncertainty about their answers and clarify that the coordinate cannot be determined solely from the graph, emphasizing the need for proper equations. Overall, the conversation highlights the importance of accurately interpreting graphical data and applying the correct formulas in physics problems.
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A particle starts from the origin at t = 0 and moves along the positive x axis. A graph of the velocity of the particle as a function of the time is shown in Fig. 2-43;

144302b2-a5d9-4a80-a60b-3143ed308917.png


the v-axis scale is set by vs = 7.00 m/s. (a) What is the coordinate of the particle at t = 5.0 s? (b) What is the velocity of the particle at t = 5.0 s? (c) What is the acceleration of the particle at t = 5.0 s? (d) What is the average velocity of the particle between t = 1.0 s and t = 5.0 s? (e) What is the average acceleration of the particle between t = 1.0 s and t = 5.0 s?

Homework Equations


Vf= Vi+at
Vavg = (Vf+Vi)/2
a avg= change in v/change in time


The Attempt at a Solution



I think all my answers are wrong!
a) (2,5) --> Looking at the graph

b) t =5s, v=2 m/s

c) Vf= Vi+at
(4-2)/1 = a
a = 2 m/s

d) Vavg = (Vf+Vi)/2
(2=2)/2
= 2 m/s

e) a avg= change in v/change in time
=0 m/s
 
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you cannot calculate the coordinate by just looking at the graph. You have to use x=at^2/2
for b.) its just v_s/2 from the graph

c, how much the velocity decrease from t=4 to t=5? i.e. in one second?

d.) the formula is right but u read it wrong from the graph.

e,) correct.
 
for A, x=at^2/2
how do I find a??

Thanks though :D
 
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