Answer:
<h2>a) Average velocity = 278 units</h2><h2>b)
Instantaneous velocity at t = 7 seconds is 148 units</h2>
Step-by-step explanation:
a) Average velocity is the ratio of displacement to time.
We have
s(t) = t³ + t
t is in between 7 and 12
s(7) = 7³ + 7 = 350
s(12) = 12³ + 12 = 1740
Displacement = 1740 - 350 = 1390
Time = 12 - 7 = 5
Displacement = Average velocity x time
1390 = Average velocity x 5
Average velocity = 278 units
b) s(t) = t³ + t
Differentiating
v(t) = 3t² + 1
At t = 7
v(t) = 3 x 7² + 1 = 148 units
Instantaneous velocity at t = 7 seconds is 148 units
If you’re solving for a... subtract the 8 to the other side so...
-4(a+3)- 3(2a-8) = 22.
Distribute the -4 and -3 into the parentheses (two negatives multiplied together is a positive)...
-4a-12-6a+24 = 22.
Add the constants and a’s together.
-10a + 12 = 22
Subtract 12 to the other side.
-10a = 10
Divide both sides by -10.
a = -1
Check and make sure that this answer works with the problem.
-4(-1+3)-3(-2-8)=22
-4(-2)-3(-10)=22.
-8+30=22.
22=22, the answer checks out
<h2><u>Answer</u><u> </u>:)</h2>
<u>Therefore</u><u> </u>
