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The graph of f(x) is given below. What is the total distance given by f(x) from…
Related Topics
Wize University Calculus 1 Textbook > Applications of Integration
Distance and Displacement
4 Activities
The graph of
f
(
x
)
f(x)
f
(
x
)
is given below. What is the total distance given by
f
(
x
)
f\left(x\right)
f
(
x
)
from
x
=
0
x=0\
x
=
0
to
x
=
4
x=4
x
=
4
?
Answer
I don't know
Check Submission
More Distance and Displacement Questions:
Applications of Integration: Finding distance and displacement
The velocity function, in meters per second, of a particle moving along a line is given by
v
(
t
)
=
t
2
−
2
t
−
8
v(t)=t^2-2t-8
v
(
t
)
=
t
2
−
2
t
−
8
For the time interval
1
≤
t
≤
6
1 \leq t \leq 6
1
≤
t
≤
6
, find (a) the displacement of the particle and (b) the distance travelled by the particle.
Applications of Integration: Displacement, Velocity, and Acceleration
The acceleration due to gravity of an object is given by
a
(
t
)
=
−
9.8
a\left(t\right)=-9.8
a
(
t
)
=
−
9.8
. If the initial velocity and displacement are given by
v
(
0
)
=
5
v\left(0\right)=5
v
(
0
)
=
5
and
d
(
0
)
=
2
d\left(0\right)=2
d
(
0
)
=
2
, find the function that represents the displacement at time t.
Applications of Integration: Finding distance and displacement
The velocity funciton, in meters per second, of a particle moving alone a line is given by
v
(
t
)
=
t
2
−
2
t
−
8
v(t)=t^2-2t-8
v
(
t
)
=
t
2
−
2
t
−
8
For the time interval
1
≤
t
≤
6
1 \leq t \leq 6
1
≤
t
≤
6
, find (a) the displacement of the particle and (b) the distance traveled by the particle.
Kinematics
The following graph represents the velocity of a particle in m/s, find the total displacement in meters of the particle from t=0 to t=5.
A train travels at
(
t
+
1
)
m
/
s
(t+1) \space m/s
(
t
+
1
)
m
/
s
. How far does it travel after 4 seconds?
Applications of Integration: Finding distance and displacement
The velocity funciton, in meters per second, of a particle moving alone a line is given by
v
(
t
)
=
t
2
−
2
t
−
8
v(t)=t^2-2t-8
v
(
t
)
=
t
2
−
2
t
−
8
For the time interval
1
≤
t
≤
6
1 \leq t \leq 6
1
≤
t
≤
6
, find (a) the displacement of the particle and (b) the distance traveled by the particle.
Applications of Integration: Displacement, Velocity, and Acceleration
The acceleration due to gravity of an object is given by
a
(
t
)
=
−
9.8
a\left(t\right)=-9.8
a
(
t
)
=
−
9.8
. If the initial velocity and displacement are given by
v
(
0
)
=
5
v\left(0\right)=5
v
(
0
)
=
5
and
d
(
0
)
=
2
d\left(0\right)=2
d
(
0
)
=
2
, find the function that represents the displacement at time t.
