Answer:
<em>The distance of the light is 9.4608 x 10^25 m</em>
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Explanation:
Time taken by the light = 10 billion years = 10 x 10^9 years
speed of light = 3 x 10^8 m/s
speed of light in m/years is = (3 x 10^8)/(60 x 60 x 24 x 365) = 9.4608 x 10^15 m/year
distance = speed x time
therefore, the distance of this light = 10 x 10^9 x 9.461 x 10^15 = <em>9.4608 x 10^25 m</em>
Answer:
a) 
b) 
c) 
d) 
Explanation:
a) The initial vertical velocity is given by:

Where:
θ: 25°
v: is the magnitude of the speed = 23 m/s

b) The initial horizontal velocity can be calculated as follows:

c) The flight time can be calculated using the following equation:

Where:
x: is the total distance = 42 m

d) The maximum height is given by:
Where:
: is the final vertical velocity =0 (at the maximum heigth)
g: is the gravity = 9.81 m/s²
I hope it helps you!
Answer:
the magnitude of the work done by the two blocks is the same.
Explanation:
The work done by block a on block b is given by:

where Fa is the force exerted by block a on block b, and d is the distance they cover.
The work done by block b on block a is given by:

where Fb is the force exerted by block b on block a, and d is still the distance they cover.
For Newton's third law, the force exerted by block a on block b is equal to the force exerted by block b on block a, therefore

and so

Answer:
The parametric equation for the position of the particle is
.
Explanation:
Given that,
The point is

Time t = 3
Velocity 
We need to calculate the parametric equation for the position of the particle
Using parametric equation for position
....(I)
at t = 3,

Put the value into the formula



Put the value of r₀ in equation (I)


Hence, The parametric equation for the position of the particle is
.
Are you referring to a manual water garden hose? If so then a advantage is that you can water in certain areas you would like that sprinklers may not reach, one disadvantage is that you have to spend time watering by hand.