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The runner has initial velocity vector

and acceleration vector

so that her velocity at time
is

She runs directly east when the vertical component of
is 0:

It's not clear what you're supposed to find at this particular time... possibly her position vector? In that case, assuming she starts at the origin, her position at time
would be

so that after 10.4 s, her position would be

which is 19.9 m away from her starting position.
Answer:
I = 97.2 10³⁶ kg m²
Explanation:
The moment of inertia of a body the expression of inertia in the rotational movement and is described by the expression
I = ∫ r² dm
In this problem we are told to use the moment of inertia of a uniform sphere, the expression of this moment of inertia is
I = 2/5 M r²
where m is the mass of the earth and r is the radius of the earth.
Let's calculate
I = 2/5 5.97 10²⁴ (6.38 10⁶)²
I = 97.2 10³⁶ kg m²
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!
An object in motion tends to stay in motion an oject at rest stays at rest.