Acceleration Grpah
Acceleration Grpah
Acceleration Grpah
If acceleration is a If acceleration is a
positive number, the negative number, the
line slopes upward to line slopes downward
the right. to the right.
Velocity
Velocity
Time Time
Draw a speed-time graph with a
acceleration zero.
velocity
Time
Draw a graph with the data of
the table, and answer the
questions.
Velocity
Velocity Time (m/s)
[m/s] [seconds]
0 2
15 4
10 6
40 8
40 10
20 12
20 14 Time (s)
0 16 a) How many times the acceleration is positive? __________
b) How many times the acceleration is negative? __________
c) How many times the acceleration is equal to zero? __________
Acceleration
(Graphic interpretation)
Distancia Tiempo Velocidad Aceleración
A motorcyclist makes the
following displacement. 0 0
1 1
1.- Calculate the velocity of
4 2
each time.
9 3
2.- Calculate the 16 4
acceleration of each time.
25 5
3.- Make the next graphs. 36 6
49 7
a) Distance vs. time
64 8
b) Velocity vs. time
c) Acceleration vs. time
Free-Fall
In the free fall the acceleration is constant.
g is referred to as the acceleration of gravity. Its
value is 9.81 m/s2 on Earth.
Equation
1 2
h v0t gt
2
Free-Fall Example
a vf vo t d
A 40 30 10
B 6 0 5
C 0 70 350
D 1.5 60 15 30
Free Fall exercises
1.- A stone is dropped from a balloon that is descending at a
uniform rate of 15 m/s when it is 1200 m from ground.
2.- The best human jumpers in the world have a vertical leap of
about 1.2 m
b) How fast would they have to leave the ground to get that
high at the top of their jump?
c) How long will they be in the air (up and down)? (Hint: where
do they land compared to where they took off?)
Assessment
• How are velocity, time and acceleration related
mathematically?
1 2
h v0t gt
2
Ejemplo
¿Que distancia recorre una pelota que es lanzada
hacia arriba con una velocidad inicial de 30 m/s y
tarda 6 segundos en comenzar a caer?
Se lanza verticalmente hacia arriba una pelota con una velocidad
inicial de 20 m/s, calcula:
a) Tiempo que tarda en alcanzar su altura máxima.
b) Altura máxima.
c) Posición y velocidad de la pelota a los 0.8 s de haberse lanzado
d) Velocidad y posición de la pelota a los 1.5 s de haber sido
lanzado.
e) Tiempo que la pelota estuvo en el aire, si es que se considera
que ésta partió inicialmente del suelo.
1 2
h vo t at
Pelota 2
Vo=20 m/s
v f vo
Suelo a
t
Datos Formula (s) Despeje Sustitución Resultado
thmax=
hmax=
Vf0.8seg=
h0.8seg=
Vf1.5seg=
H1.5seg=
ttotal=