You can solve for the velocity and position functions by integrating using the fundamental theorem of calculus:
<em>a(t)</em> = 40 ft/s²
<em>v(t)</em> = <em>v </em>(0) + ∫₀ᵗ <em>a(u)</em> d<em>u</em>
<em>v(t)</em> = -20 ft/s + ∫₀ᵗ (40 ft/s²) d<em>u</em>
<em>v(t)</em> = -20 ft/s + (40 ft/s²) <em>t</em>
<em />
<em>s(t)</em> = <em>s </em>(0) + ∫₀ᵗ <em>v(u)</em> d<em>u</em>
<em>s(t)</em> = 10 ft + ∫₀ᵗ (-20 ft/s + (40 ft/s²) <em>u</em> ) d<em>u</em>
<em>s(t)</em> = 10 ft + (-20 ft/s) <em>t</em> + 1/2 (40 ft/s²) <em>t</em> ²
<em>s(t)</em> = 10 ft - (20 ft/s) <em>t</em> + (20 ft/s²) <em>t</em> ²
Standard form allows you to easily find the y-intercept and determine if the parabola is concave up or down. Also, if it is not factorable, then it is in the correct form to apply the quadratic formula to find the x-intercepts.
Answer:
y=8x+5
Step-by-step explanation:
Please see attached picture for full solution.
I assume that you are trying to find for the equation of the line.
First, substitute the value of the slope given into m in the equation.
Then substitute the coordinates into x and y to find the y-intercept.
Answer:
x= 8/9
Step-by-step explanation:
Open everything up to get 5x+2x-6=-2x+2. Move numbers with an x to the left side and without to the right to have 5x+2x+2x=2+6. Simplify to have 9x=8. Divide by 9 which leaves you with x= 8/9
Answer:
I did it is in my profile
Step-by-step explanation:
