|V| = 10.33 units and the direction θ = -47.35° or 312.65°.
Given the x and y components of a vector, we can calculate the magnitude and direction from these components.
Applying the Pythagorean theorem we have that the magnitude of the vector is:
|V| = 
|V| = 
The expression for the direction of a vector comes from the definition of the tangent of an angle:
tan θ = 
------> θ = arc tan
θ = arc tan 
θ = -47.35° or 312.65°
<h3><u>Answer;</u></h3>
= 3.73 seconds
<h3>
<u>Explanation;</u></h3>
Using the equation;
v = u + at
where v is the final velocity, u is the initial velocity and a is the acceleration due to gravity (-g) and t is the time taken.
Therefore;
v = u - gt
Thus;
v = 24.5 m/s, u = 12.1 m/s, a = -g = 9.8 m/s²
-24.5 m/s = 12.1 - 9.8 × t
36.6 = 9.8 t
t = 36.6/9.8
= 3.73 seconds
The major shortcoming of Rutherford's model was that it was incomplete. It did not explain how the atom's negatively charged electrons are distrubuted in the space surronding its positively charged nucleus. A form of energy that exhibits wavelike behavior as it travels through space
