For time ,a particle moves along the x-axis with position given by .What is the position of the particle when it is farthest to the left?
A)
B)-11
C)-16
D)

Question

For time  ,a particle moves along the x-axis with position given by  .What is the position of the particle when it is farthest to the left? ​
A)​ 
B)​-11 
C)​-16 
D)​​

Quizplus · Accepted Answer

To find the position of the particle when it is farthest to the left, we need to find the minimum value of the given function. Taking the derivative and setting it equal to zero, we get:

f'(x) = 2x - 6 = 0

Solving for x, we get x = 3. Substituting this back into the function, we get:

f(3) = -11

Therefore, the position of the particle when it is farthest to the left is -11, option B is correct.

For Time ,A Particle Moves Along the X-Axis with Position