The kinematics allows finding the answers for the positions of the body as a function of time and making its graph are:
- The positions according to time are in the table
- In the attachment we can see a graphic representation
Given parameters
- The acceleration a = 2.5 m / s²
- The initial velocity vo = 5.0 m / s
To find
- The distance each Dt = 1.0 s
Kinematics studies the motion of bodies, gives relationships between the position, velocity and acceleration of bodies, let's use the relationship
x = v₀ t + ½ a t²
Where x is the position, v or the initial velocity, at the acceleration and t is the time.
Let's substitute
x = 5 t + ½ 2.5 t²
x = 5 t + 1.25 t²
Let's calculate the position and write it in the table
t = 0 s x = 0 m
t = 1 s x = 5 1 + 1.25 1² = 6.25 m
t = 2 s x = 5 2 + 1.25 2² = 15 m
t = 3s x = 5 3 + 1.25 3² = 26.25 m
t = 4 s x = 5 4 + 1.25 4² = 40 m
t = 5 s x = 5 5 + 1.25 5² = 56.25 m
In the following table the time and positions of the body are given, these given are used for the attached graph
time (s) position (m)
0 0
1 6.25
2 15
3 26.25
4 40
5 56.25
In conclusion, using kinematics we can find the answers for the positions of the body as a function of time and make its graph are:
- The positions according to time are in the table
- In the attachment we can see a graphic representation
Learn more here:
https://brainly.com/question/5063616
