At a constant speed of 5.00 m/s, the speed at which the poodle completes a full revolution is

so that its period is
(where 1 revolution corresponds exactly to 360 degrees). We use this to determine how much of the circular path the poodle traverses in each given time interval with duration
. Denote by
the angle between the velocity vectors (same as the angle subtended by the arc the poodle traverses), then



We can then compute the magnitude of the velocity vector differences
for each time interval by using the law of cosines:


and in turn we find the magnitude of the average acceleration vectors to be

So that takes care of parts A, C, and E. Unfortunately, without knowing the poodle's starting position, it's impossible to tell precisely in what directions each average acceleration vector points.
Answer:
A) False
B) False
C) True
D) True
E) True
Explanation:
A) The formula for tangential speed v in term of angular speed ω and radius of rotation r is

So if the angular speed is constant and 0, the tangential speed is also 0. A) is false
B) False because of the centripetal acceleration:

C) True because of the formula for tangential acceleration in term of angular acceleration α is

D) True because same as D), if it has angular acceleration, it would have a tangential acceleration. Also from B) the centripetal acceleration will come with time as soon as angular speed is generated by angular acceleration.
E) True and same explanation as from B)
Answer:
Kinetic energy is maximum when the player hits the ball.
Explanation:
Kinetic energy
, where m is the mass and v is the velocity.
So kinetic energy is proportional to square of velocity.
Velocity is maximum when the player hits the ball.
So kinetic energy is maximum when the player hits the ball.
Answer:
dt/dx = -0.373702
dt/dy = -1.121107
Explanation:
Given data
T(x, y) = 54/(7 + x² + y²)
to find out
rate of change of temperature with respect to distance
solution
we know function
T(x, y) = 54 /( 7 + x² + y²)
so derivative it x and y direction i.e
dt/dx = -54× 2x / (7 +x² + y²)² .........................1
dt/dy = -54× 2y / (7 + x² + y²)² .........................2
now put the value point (1,3) as x = 1 and y = 3 in equation 1 and 2
dt/dx = -54× 2(1) / (7 +(1)² + (3)²)²
dt/dx = -0.373702
and
dt/dy = -54× 2(3) / (7 + (1)² + (3)²)²
dt/dy = -1.121107
Answer:0.210 ft/min
Explanation:
Given
Length of trough 
width of base 
height of triangle
From Similar triangles property


volume of water in time t



differentiating

at 


