Velocity And Acceleration 2

Question 1

What are speed and velocity

Answer 1

Velocity is :
X. = rEr + rtheta.* E(theta)
Speed is magnitutude

Question 2

What is acceleration

Answer 2

Acceleration is:

X.. = derivative of velocity dt = (r.. - r(theta.)^2)Er + (rtheta.. + 2r.theta..)*E(theta)

Question 3

What is angular speed

Answer 3

Angular speed is :

Theta. which is rate of change of angle theta (lower case omega)

Question 4

What is position vector of P x(t)

Answer 4

Position vector of O x(t) is:

X(t) = OP = OQ + QC + CP = A(J) - atheta(i) + aEr

Question 5

What are velocity and acceleration at x(t) where does acceleration act

Answer 5

Velocity at x(t) is:
V = x. = aw(Et(theta) - (i)) as theta. = w and a. =
Acceleration is:
X.. = awE(theta). = -a*w^2 * Er (acceleration acts towards c

Question 6

What is equation of an ellipse with focus at origin in polar coordinates

Answer 6

Equation of an ellipse with focus at origin is:

R = L/1+ecos(theta) where 0 < e < 1 and L > 0

Question 7

What is equation of ellipse with focus at origin in Cartesian coordinates

Answer 7

Equation of ellipse with focus at origin in Cartesian coordinates is:
X(hat)^2/a^2 + Y(hat)^2/b^2 = 1 
Where X(hat) = x + le/(1-e^2), Y(hat) = y
A = L(/(1-e^2), b = l/root(1-e^2)