Find Velocity and acceleration

In summary, the particle starts from the origin at t = 0 and moves along the positive x axis with a velocity graph shown in Fig. 2-43. The v-axis scale is set by vs = 7.00 m/s. We can determine the coordinate of the particle at t = 5.0 s by using the formula x=at^2/2, which gives us a coordinate of (2,5). The velocity of the particle at t = 5.0 s is 2 m/s. Using the formula Vf= Vi+at, we can calculate the acceleration of the particle at t = 5.0 s to be 2 m/s. To find the average velocity of the particle
  • #1
P-Illiterate
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0
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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  • #2
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.
 
  • #3
for A, x=at^2/2
how do I find a??

Thanks though :D
 

1. What is the difference between velocity and acceleration?

Velocity is the rate of change of an object's position over time, while acceleration is the rate of change of an object's velocity over time. In other words, velocity measures how fast an object is moving, while acceleration measures how quickly the object's velocity is changing.

2. How do you calculate velocity and acceleration?

Velocity is calculated by dividing the change in an object's position by the change in time. Acceleration is calculated by dividing the change in an object's velocity by the change in time. Both velocity and acceleration are typically measured in meters per second (m/s) or meters per second squared (m/s²).

3. What units are used to measure velocity and acceleration?

Velocity is typically measured in meters per second (m/s), while acceleration is measured in meters per second squared (m/s²). However, other units such as kilometers per hour (km/h) or miles per hour (mph) can also be used to measure velocity.

4. How do you interpret a velocity vs. time graph?

A velocity vs. time graph shows how an object's velocity changes over time. The slope of the graph at any given point represents the object's acceleration at that time. A horizontal line on the graph indicates a constant velocity, while a straight line with a positive or negative slope indicates a constant acceleration in the direction of the slope.

5. How does air resistance affect an object's velocity and acceleration?

Air resistance, also known as drag, can affect an object's velocity and acceleration by slowing it down. As an object moves through the air, it experiences a force in the opposite direction of its motion due to air resistance. This force decreases the object's acceleration, resulting in a decrease in velocity over time.

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