If we have the angle and magnitude of a vector A we can find its Cartesian components using the following formula
Where | A | is the magnitude of the vector and 
is the angle that it forms with the x axis in the opposite direction to the hands of the clock.
In this problem we know the value of Ax and Ay and we need the angle .
Vector A is in the 4th quadrant
So:
So:
So:
= -47.28 ° +360° = 313 °
= 313 °
Option 4.
8.33 m/s
Explain:
If you understand what 1 km = 1000 m and 1 hr = 60*60 seconds signify, you already know what they mean. If you translate 1000 m/ 3600 s to km/hr, you'll get 5 m/ 18 s, which you can multiply by 30 to get (30 x 5)/18 = 8.33 m/s.
Acceleration = (change in speed) / (time for the change)
Change in speed = (ending speed) - (starting speed)
Change in speed = (25 m/s) - (5 m/s) = 20 m/s
Time for the change = 20 sec
Acceleration = (20 m/s) / (20 sec)
<em>Acceleration = 1 m/s²</em>
Classical economics is a branch of the economics that states that economy is always moving towards equilibrium, which means that a change in supply will eventually be matched by a change in demand. The father of classical economics is Adam Smith with his book<span> The Wealth of Nations in 1776.</span>
The economic theory supporting market economies (or capitalism) is much more realistic than theories supporting command economiesIt is based on self interest.
The resultant velocity is 360.81 m/s and the velocity of the dolphin swims is 11 m/s
Explanation:
The boat travelling is 13.4 m/s
The captain walks on the deck is 1.3 m/s
The resultant velocity = a² + b² = c²
= 13.4² + 1.3²
= 179.56 + 1.69
c² = 
c= 360.81 m/s
To find the velocity, the dolphin swims in 55 m and the acceleration is 5.0 s
velocity = distance / acceleration
= 
= 11 m/s
Therefore, the velocity is 11 m/s.
