Question
In: Math
A particle is moving with the given data. Find the position of the particle. v(t) =...
A particle is moving with the given data. Find the position of the particle. v(t) = sin(t) − cos(t), s(0) = 4
Solutions
milcah answered 2 years agoRelated Solutions
A particle is moving with the given data. Find the position of the particle. a(t) =...
A particle is moving with the given data. Find the position of
the particle. a(t) = 11 sin(t) + 3 cos(t), s(0) = 0, s(2π) = 18
1. A particle is moving with the given data. Find the position of the particle. a(t)=2t+7,...
1. A particle is moving with the given data. Find the position
of the particle.
a(t)=2t+7, s(0)=8, v(0)=-3
2.Find f
f'(x)=1 sqrt(1-x2) , f(1/2)=8
A particle is moving according to the given data v(t)=t^2 - sqrt(t), x(0) = 0, 0...
A particle is moving according to the given data
v(t)=t^2 - sqrt(t), x(0) = 0, 0 ≤ t ≤ 4.
• Find x(t), the position of the particle at time t.
• For what values of t is the particle moving to the left? To the
right?
• Find the displacement of the particle.
• Find the total distance covered by the particle.
The position of a particle moving along the x-axis is given by x(t) = t^3 +...
The position of a particle moving along the x-axis is given by
x(t) = t^3 + 9t^2 − 21t with t is in [0, 2]. (a) Find the velocity
and acceleration of the particle.
(b) For what t-values is the velocity 0? (Enter your answers as
a comma-separated list.)
(c) When is the particle moving to the left (velocity is
negative)? (Enter your answer using interval notation.)
When is the particle moving to the right (velocity is positive)?
(Enter your...
The velocity function of a particle moving along a line is given by the equation v(t)...
The velocity function of a particle moving along a line is given
by the equation v(t) = t2 - 2t -3. The particle has
initial position s(0) = 4.
a. Find the displacement function
b. Find the displacement traveled between t = 2 and t = 4
c. Find when the particle is moving forwards and when it moves
backwards
d. Find the total distance traveled between t = 2 and t = 4
e. Find the acceleration function, and...
The velocity function for a particle moving along a straight line is given by v(t) =...
The velocity function for a particle moving along a straight
line is given by v(t) = 2 − 0.3t for 0 ≤ t ≤ 10, where t is in
seconds and v in meters/second. The particle starts at the
origin.
(a) Find the position and acceleration functions for this
particle.
(b) After ten seconds, how far is the particle from its starting
point?
(c) What is the total distance travelled by the particle in the
interval [0, 10]?
The position vector F(t) of a moving particle at time t[s] is given by F(t)= e^t...
The position vector F(t) of a moving particle at time t[s] is
given by F(t)= e^t sin(t)i-j+e^t cos(t)k a) Calculate the
acceleration a(t). b) Find the distance traveled by the particle at
time t = 3π/2, if the particle starts its motion at time t = π/2.
c) Find the unit tangent vector of this particle at time t = 3π/2.
d) Find the curvature of the path of this particle at time t =
3π/2.
2). A particle moving on the x-axis has a time-dependent position (t) given by the equation...
2). A particle moving on the x-axis has a time-dependent
position (t) given by the equation x (t) = ct - bt^3. Where the
units of x are meters (m) and time t in seconds (s). (Hint: you
must get derivatives, you need graph paper)
(a) So that the position in x has units of meter which are the
units of the constants c and b?
If c = 5 and b = 1. From ti = 0s to tf...
Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =...
Find the velocity, acceleration, and speed of a particle with
the given position function. r(t) = 2 cos(t), 2t, 2 sin(t)
Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =...
Find the velocity, acceleration, and speed of a particle with
the given position function.
r(t) =
9 cos(t), 8 sin(t)
v(t)
=
a(t)
=
|v(t)|
=
Sketch the path of the particle and draw the velocity and
acceleration vectors for
t =
π
3
.
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