Matlab code please
6. Find the velocity, acceleration, and speed of a particle with
the given...
Matlab code please
6. Find the velocity, acceleration, and speed of a particle with
the given position function. (a) r(t) = e t cos(t)i+e t sin(t)j+
tetk t = 0 (b) r(t) = 〈t 5 ,sin(t)+ t 2 cos(t),cos(t)+ t 2 sin(t)〉,
t = 1
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
.
1) Find the velocity and position vectors of a particle that has
the given acceleration and the given initial velocity and
position.
a(t) = 7i+
4j, v(0) =
k, r(0) =
i
2) Find the tangential and normal components of the acceleration
vector.
r(t) = 5(3t −
t3) i +
15t2 j
write a matlab code to find the following: initial position,
initial velocity, and acceleration using the algorithm and
information below
time(seconds). height(m) velocity(m/s)
0. 0.2. 2.95
algorithm:
1. Enter data in to arrays.
2. Fit the height data to a 2nd order polynomial.
3. Evaluate the polynomial at enough points to get a smooth
curve.
4. Find the velocity model by taking derivative of the height
polynomial.
5. Evaluate the velocity polynomial at enough times to get a
smooth curve
Suppose that a particle has the following acceleration vector
and initial velocity and position vectors.
a(t) = 7 i +
9t k,
v(0) = 4 i
−
j, r(0)
= j + 5 k
(a)
Find the velocity of the particle at time t.
(b)
Find the position of the particle at time
t.
Choices: True or False.
If velocity is zero then acceleration must be zero too.
If speed is constant then acceleration is zero.
If velocity is constant then speed must be constant too.
If speed changes then velocity must change too.
Object slows down if it's acceleration is negative.
If speed is constant then velocity must be constant too.
QUESTION 4
a) Define speed, velocity and acceleration stating
whether they are scalar or vector quantities. Support with
calculative examples ( 9 marks)
b ) Draw a graph of an object that starts from rest
and accelerates at 4m/s^2 until for 5 seconds, then travels at a
constant velocity for 3 seconds and then decelerates at 8 m/s^2
until it comes to rest. Determine; ( 16 marks)
the constant velocity;
the displacement during acceleration
the displacement of constant velocity
the...
A particle moves with acceleration function a(t) = 2x+3. Its
initial velocity is v(0) = 2 m/s and its initial displacement is
s(0) = 5 m. Find its position after t seconds.