Galileo performed an experiment to measure the speed of light by timing how long it took light to travel from a lamp he was hold
1 answer:
Answer:
The time it takes light to cover 1.5 km was too short to be measured by Galileo's instruments.
Explanation:
The speed of light is , which means the time it takes to cover a distance of 1.5 km (or 1,500m) will be
which is of a second! This time delay could in no way be measured by Galileo considering the fact that he was using his heartbeat to measure time!
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Answer:
Vi = 32 [m/s]
Explanation:
In order to solve this problem we must use the following the two following kinematics equations.
The negative sign of the second term of the equation means that the velocity decreases, as indicated in the problem.
where:
Vf = final velocity = 8[m/s]
Vi = initial velocity [m/s]
a = acceleration = [m/s^2]
t = time = 5 [s]
Now replacing:
8 = Vi - 5*a
Vi = (8 + 5*a)
As we can see we have two unknowns the initial velocity and the acceleration, so we must use a second kinematics equation.
where:
d = distance = 100[m]
(8^2) = (8 + 5*a)^2 - (2*a*100)
64 = (64 + 80*a + 25*a^2) - 200*a
0 = 80*a - 200*a + 25*a^2
0 = - 120*a + 25*a^2
0 = 25*a(a - 4.8)
therefore:
a = 0 or a = 4.8 [m/s^2]
We choose the value of 4.8 as the acceleration value, since the zero value would not apply.
Returning to the first equation:
8 = Vi - (4.8*5)
Vi = 32 [m/s]
Because acceleration is constant, the acceleration of the car at any time is the same as its average acceleration over the duration. So
Now, we have that
so we end up with a distance traveled of