The two displacement functions are
x₁ = 4t
x₂ = -161 + 48t - 4t²
where
x₁, x₂ are in meters
t is time, s
The distance between the two objects is
x = x₁ - x₂
= 4t + 161 - 48t + 4t²
x = 4t² - 44t + 161
Write this equation in the standard form for a parabola.
x = 4[t² - 11t] + 161
= 4[ (t - 5.5)² - 5.5² ] + 161
x = 4(t-5)² + 40
Ths is a parabola that faces up and has its vertex (lowest point) at (5, 40).
Therefore the closest approach of the two objects is 40 m.
The graph of x versus t confirms the result.
Answer: The distance of the closest approach is 40 m.
Explanation :
A pictorial representation of a circuit is called as circuit diagram.
The three important components of a circuit are : Power source, wires and load.
Load means a bulb or any other electrical equipment and power source means a battery.
<em>Out of three components, battery must be included in every circuit diagram because it provides voltage and without voltage there is no electric current.</em>
<u><em>The figure shows the symbol of a battery.</em></u>