The position at time t is
x(t) = 0.5t³ - 3t² + 3t + 2
When the velocity is zero, the derivative of x with respect to t is zero. That is,
x' = 1.5t² - 6t + 3 = 0
or
t² - 4t + 2 = 0
Solve with the quadratic formula.
t = (1/2) [ 4 +/- √(16 - 8)] = 3.4142 or 0.5858 s
When t =0.5858 s, the position is
x = 0.5(0.5858³) - 3(0.5858²) + 3(0.5858) + 2 = 2.828 m
When t=3.4142 s, the position is
x = 0.5(3.4142³) - 3(3.4142²) + 3(3.4142) + 2 = -2.828 m
Reject the negative answer.
Answer:
The velocity is zero when t = 0.586 s, and the distance is 2.83 m
When the acceleration is zero, the second derivative of x with respect to t is zero. That is,
3t - 6 = 0
t = 2
The distance traveled is
x = 0.5(2³) - 3(2²) + 3(2) + 2 = 0
Answer:
When the acceleration is zero, t = 2 s, and the distance traveled is zero.
Answer:
Guilt
Explanation:
Erikson´s theory mention that the development of the personality in a human being is define by eight stages in life, depending the experiences and the good feelings or bad ones, men can develop different feelings.
In the stage from 3 to 5, the children can develop initiative or guilt, in this case, since Toma has experience 2 bad experiences in which he can not deal with the challenge, it will feel guilt.
The answer would be: b. The spring constant is 20 N/m
Equilibrium is when the opposing forces or influences are balanced. So it would be E!
Answer:
4*9 = 36 m/sec at 9 seconds. The average speed is (0 + 36)/2 = 18 .
Explanation:
