When you look vertically downwards into a swimming pool full of water the bottom of the pool seems closer to you than it really is. The apparent depth at this point can be worked out using the formula:
Apparent depth = Real depth/Refractive index of water
However as you look towards the end of the pool the bottom seems to curve upwards – we are thinking about a pool of constant depth to start with.
If the depth of the pool really does change then the situation becomes more complex and you would need to allow for that when drawing the diagram
Answer:
The magnitude of the acceleration of the car when
is
.
Explanation:
The acceleration can be obtained by using the following differential equation:

Where
,
and
are the acceleration, speed and distance masured in meters per square second, meters per second and meters, respectively.
Given that
, its first derivative is:

The following expression is obtained by replacing each term:


The magnitude of the acceleration of the car when
is:


Answer:
Whats the rest of the equation?
Explanation:
.
Centripetal acceleration is the acceleration of an object acted upon a force that pulls it toward the center of origin. For constant speed, there is no acceleration, since acceleration is defined as the difference of velocities at an elapsed time. Hence, if speed doubles, then the centripetal acceleration would increase as well.