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The derivation of three fundamental kinematic equations, which describe the motion of an object under the influence of constant acceleration. The equations relate the initial velocity (v0), final velocity (vf), acceleration (a), time (t), and displacement (h) of the object. The document demonstrates the step-by-step derivation of the third equation, v^2_f = v^2_0 + 2gh, which is a crucial relationship in the study of kinematics and the motion of objects. By understanding these equations and their derivations, students can gain a deeper understanding of the principles governing the motion of objects, which is essential in fields such as physics, engineering, and applied sciences. A valuable resource for students, researchers, and professionals interested in the fundamental concepts of kinematics and the analysis of object motion.
Typology: Exercises
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2
f
2
o
t = (t f
− t o
a = g
Formula 1
f
= V o + a(t f
− t o
Formula 2
h = v o
(t f
− t o
a(t f
− t o
2
Formula 3 (demostrar)
2
f
2
o + 2gh
De la ecuaci´on 1
f
= V o + a(t f
− t o
t
f
− t
o
v f
− v o
a
Ecuaci´on 4
la ecuacion 4 se remplaza en la ecuacion 2
h = v
o
v
f
− v
o
a
a(
v
f
− v
o
a
2
h =
v o
∗ v f
a
v
2
o
a
a[
v
2
f
− 2 v
f
∗ v
o
2
o
a
2
h =
v o
∗ v f
a
v
2
o
a
v
2
f
2 a
2 v f
∗ v o
2 a
v
2
o
2 a
h =
v
2
f
2 a
v
2
o
2 a
v
2
f
− v
2
o
2 a
h =
v
2
f
− v
2
o
2 a
2 ah = v
2
f
− v
2
o
v
2
o
2
f
2
f
= v
2
o
2
f
= v
2
o