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:
-7 is your answer
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other.
4 + y = -3
Subtract 4 from both sides
4 (-4) + y = -3 (-4)
y = -3 - 4
y = -7
-7, or (D) is your answer
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Answer:
(a) 144
(b) 117
(c) 360
(d) 588
(e) 5472
Step-by-step explanation:
To find the LCM of two numbers, first find the prime factorization of each number. Then the LCM is the product of common and not common factors with the larger exponent.
2.
(a)
(b)
(c)
(d)
(e)
Answer:
-4x + 12
Step-by-step explanation:
2(x+6)-6x
2x + 12 - 6x
combine llike terms
2x - 6x = -4x
-4x + 12
Answer:
2.a)11.355 b)0.94625
3. divide 6 by 4
4. 0.8kg, 800g
Step-by-step explanation:
To convert one measurement to another you need to set it up so that the old measurement gets cancelled out when you multiply the conversion ratio.
2a) 
the gallons on top and bottom get cancelled out leaving you with the measurement that you want
2b) 
3) 
4) 
