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The position of a plane is given by the function [tex]x = 4.00 t^2 - 5.00 t + 5.00[/tex], where [tex]t[/tex] is in seconds.

At what time is the velocity of the plane zero?

A. 1.55 s
B. 0.406 s
C. 0 s
D. 0.625 s

Answer :

The time at which the velocity of the plane is zero is approximately 0.625 seconds.

The velocity of the plane can be determined by taking the derivative of the position function with respect to time.

Given:

Position function: x = 4.00 t^2 - 5.00 t + 5.00

To find the time at which the velocity is zero, we need to find the time when the derivative of the position function is zero.

Taking the derivative of the position function, we get:

v = d/dt (4.00 t^2 - 5.00 t + 5.00) = 8.00 t - 5.00

Setting the velocity equal to zero and solving for t:

8.00 t - 5.00 = 0

8.00 t = 5.00

t = 5.00 / 8.00

t ≈ 0.625 s

Therefore, the time at which the velocity of the plane is zero is approximately 0.625 seconds.

Hence, the correct answer is option d) 0.625 s.

To learn more about velocity, click here: https://brainly.com/question/18084516

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