Answer:
Check Explanation.
Step-by-step explanation:
s(t) = 0.810t²
a) Distance fallen through, just after t = 8 s
s(8) = 0.810(8²) = 51.84 m
b) Velocity of the body, just after t = 8 s
s(t) = 0.810t²
v(t) = (ds/dt) = 1.620t
v(8) = 1.62(8) = 12.96 m/s
c) Acceleration of the body, just after t = 8 s
v(t) = 1.620t
a(t) = (dv/dt) = 1.620
a(8) = 1.620 m/s²
d) The answer obtained from the 2nd derivative of this free fall function for acceleration is a constant.
This means, the acceleration of the body is constant regardless of the time.
The body undergoing the motion described by the free fall function has a constant acceleration.
Answers:
0.45 is a moderate association
0.95 and -0.8 are both strong association
0.10 is weak association
Explanation:
This is the interpreation of the correltaion coefficient:
1) The correlaion coefficient assesses the relationship between two variables in a scatter plot.
2) If the sign of the correlation coefficient is positive means that the two variables trend to grow or decrease in the same sense. This is an uphill line or curve: if variable X grows, variable Y grows, and if variable X decreases variable Y grows.
If the sign of the correlation coefficient is negative means that the two variables go in opposite direction. This is a downhill line or curve.
3) A correlation coefficient of +1 or -1 is a perfect association. The two variables are totally associated.
4) A correlation coefficient less that +1 but greater than 0.7 is a strong association. The same with a coefficite between - 0.7 and -1.
5) A correlation coefficient arroun +0.5 or -0.5 is a moderate association.
6) A correlation coefficient of 0 is a nill association.
7) A correlation coeffiicient between 0 and 0.3 is a weak association. The same when the correlation coefficient is between -3 and 0.
0.7(3s+4)-1.1s=7.9 equals s=5.1
