Question: The (x, y) coordinates of a certain object as a function of time t are given by x(t) = 5t 10 y(t) = 25t2

The (x, y) coordinates of a certain object as a function of time t are given by

x(t) = 5t – 10  y(t) = 25t2 = 120t + 144

for 0 ≤ t ≤ 4. Write a program to determine the time at which the object is the closest to the origin at (0, 0). Determine also the minimum distance.

Do this in two ways:

a. By using a for loop.

b. By not using a for loop.

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