Respuesta :
the kinematics allows searching for the variables of movement of the body, finding the initial velocity and the height of the body
v₀ = 41.16 m/s and y = 86.4 m
given parameters
- time to reach the highest point t = 4.2 s
to find
- Initial velocity
- The maximum height
The kinematics allows finding the relationships between the position, velocity and relationship of a body, for its use a reference system must be defined with respect to which to carry out the measurements. Let's set a rule system with the y-axis vertical and the upward direction as positive.
v = v₀ - g t
Where v and v₀₀ are the velocity at the initial point e, respectively, g is the acerlation of gravity (g = 9.8 m / s²) and t is the time
At the highest point the velocity is zero
0 = v₀ - g t
v₀ = g t
v₀ = 9.8 4.2
v₀ = 41.16 m / s
To find the maximum height we use
v² = vo² - 2 g y
where y is the height reached.
At the point of maximum height the velocity is zero
0 = vo² - 2 g y
y = [tex]\frac{v_o^2}{2g}[/tex]
y = [tex]\frac{41.16^2}{2 \ 9.8 }[/tex]
y = 86.44 m
using the criterion that the result is with a tenth
y = 86.4 m
Using the kinematics relations we can find the initial velocity and the height of the body
v₀ = 41.16 m / s and y = 86.4 m
learn more about kinematics here:
https://brainly.com/question/13390759
