-Synodic period is the period of celestial bodies observed on the moving planet(mostly earth)
Sideral period is the period comparing to the fixed stars without motion of the earth involved.
(I will explain the second question with an example, so it's easier to understand)
-For Sideral month for example of the moon it cactually complete one revolution in around 27.3 days.
However, since the earth moves, for us it took some more time to see the moon the same as before (fullmoon to fullmoon) again. That make synodic month of the moon to be around 29.5 days.
Assuming the cannonball is fired horizontally, its horizontal velocity stays at a constant 76 m/s. At the point it hits the ground, it has a speed of 89 m/s, so if its vertical velocity at that moment is 
, we have
(taking the negative square root because we take the downward direction to be negative)
Recall that
where 
and 
are the initial and final velocities, respectively; 
is the acceleration; and 
is the change in position of a body. In the cannonball's case, it starts with 0 vertical velocity and is subject to a downward acceleration with magnitude 
. So we have
(which is negative because we take the cannonball's starting position at the top of the cliff to be the origin) so the cliff is about 109 m high.
Answer:
The Principle of Moments states that when a body is balanced, the total clockwise moment about a point equals the total anticlockwise moment about the same point. Moment =force F x perpendicular distance from the pivot d.
The electrical energy is transformed into thermal energy
There's no benefit from being stressed out, my lord.
x = 8 cos(3t + π/3)
When t=0, x = 8 cos(π/3)
Position = 8 cos(π/3) = 8 (0.5) = 4 .
Speed = first derivative of 8 cos(3t + π/3) =
- (8) (3) sin(3t + π/3) = - 24 sin(π/3) = -20.78
Acceleration = second derivative of 8 cos(3t + π/3)
= first derivative of - 24 sin(3t + π/3)
= - (24) (3) cos(3t + π/3)
= -72 cos(π/3) = -36 .
The period of the motion is the period of cos(3t + π/3) .
That's the same as the period of cos(3t) .
When is the first time after (3t=0) when (3t=2π) ? It's t = 2π/3 .
The period is 2π/3 .
The amplitude of the motion is the amplitude of 8 cos(.....) .
The amplitude of the cosine is 1 .
The amplitude of 8cos(...) is 8 .
Words cannot express my boundless gratitude
for the generous gift of your 5 points, my lord.
A full 1 point per answer !
The warm cloudy water and green bread-crust are delicious too.
