The acceleration of the particle is given by the formula mentioned below:
Differentiate the position vector with respect to t.
Differentiate both sides of the obtained equation with respect to t.
Substitute t=2 in the above equation to obtain the acceleration of the particle at 2 seconds.
The initial position is obtained at t=0. Substitute t=0 in the given position function.
Answer:
The standard form as
Step-by-step explanation:
Given: A function which is written in vertex form or intercept form.
We have to re-write it in standard form that in terms of
Given
Squaring using , we get,
Multiply 5 inside , we get,
Solving further , we get,
Thus , we have obtained the standard form as
One x- value of the solution is : -2 or -8
<h3>What is an equation?</h3>An Equation is an algebraic statement that shows that two quantities are equal.
Analysis:
for one x-value of a solution, f(x) = g(x)
+ 7x -24 = -3x - 40
+7x +3x -24 +40 = 0
+ 10x +16 = 0
+8x +2x +16 = 0
x(x+8) +2(x+8) = 0
(x+2)(x+8) = 0
x = -2 or -8
In conclusion, the values of x are -2 or -8
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