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
Answer:
C. chemical energy is what it's stored in the form of
Answer:106
Step-by-step explanation:
Let number of white marbles be w
Let number of red marbles be r
w+r = 126---------1
w = 6 +5r-----------2
Put eqn 2 in eqn 1
6+ 5r + r = 126
6 + 6r = 126
6r = 120
r = 20
w = 6 +5r =6+100
= 106
The answer is D because a function means for every input you get exactly one output so
for every x you get one y
in D there is a coordinate (5,2) meaning that if you put in 5 for x you get 2 for y
but the new ordered pair also has 5 for x but has a difarent y value. this violates the definition of a funciton
Answer:
c = √746
Step-by-step explanation:
You need to use Pythagorean Theorem (a² + b² = c²) in order to solve for the hypotenuse.
25² + 11² = c²
625 + 121 = c²
746 = c²
√746 = c
