We are given that,

We need to find
when 
The equation that relates x and
can be written as,


Differentiating each side with respect to t, we get,



Replacing the value of the velocity


The value of
could be found if we know the length of the beam. With this value the equation can be approximated to the relationship between the sides of the triangle that is being formed in order to obtain the numerical value. If this relation is known for the value of x = 6ft, the mathematical relation is obtained. I will add a numerical example (although the answer would end in the previous point) If the length of the beam was 10, then we would have to



Search light is rotating at a rate of 0.96rad/s
Resistor 1 and three are in series so the total resistance is 1.
There are 171 moons, or natural satellites, orbiting the planets in our solar system; Earth, Mars, Jupiter, Saturn, Uranus, and Neptune have 1, 2, 66, 62, 27, and 13 moons, respectively. The following is a list of some of the major planetary moons, including those of the dwarf planet Pluto.
Out of them, Most of the large moons in the Solar System have prograde orbits. This means that they orbit their planet in the same direction as the planet is rotating.
Why do all the planets orbit in the same direction?
The same reason (almost) all of them rotate in the same direction: because of the conservation of angular momentum. Before a star and its planets exist, there's just a cloud of disorganized gas and small molecules. The Solar System formed from such a cloud around 4.6 billion years ago.
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25 m/s² is the object's acceleration
m1a1=m2a2
m1=5kg
m2=3 kg
a1= 15 m/s²
a2=?
m1a1=m2a2
a2=m1a1/m2
a2=5×15÷3
a2= 25 m/s²
Acceleration is a vector variable that describes the rate at which an object changes its velocity.
An object is said to be accelerating if its velocity is changing. Occasionally, a moving object can change its velocity by the same amount each second. a moving object whose speed fluctuates by 10 m/s every second. This is referred to as a constant acceleration since the velocity is changing by a fixed amount each second.
The difference between an object with a constant acceleration and one with a constant velocity must be understood. Do not be fooled! If an object's velocity changes, whether it does so by a constant amount or a variable amount, then it is accelerating. Furthermore, something that is travelling at a steady speed is not accelerating.
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In summary, gravity is the force that creates the pressure to fuse atoms, which makes the stars shine. Eventually the temperature is high enough that the star starts fusing hydrogen into helium. When the outward pressure produced by the heating of the gas by fusion energy balances gravity, a stable star is formed.