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.
C
Greenhouse effect is the warming of planet due to greenhouse gases in the atmosphere trapping infrared radiation reflecting from the earth's surface.
Explanation:
The earth has a natural greenhouse effect that comes from natural events like volcanos the spew gases such as carbon dioxide into the atmosphere. Even wildlife and bacteria produce carbon dioxide and methane from respiration. These greenhouse gases maintain are relatively safe greenhouse effect that keeps the planet warm. Without the greenhouse effect, the earth’s average temperatures would be -18 degrees centigrade. The greenhouse gases are regulated by uptake b carbon sinks like forests.
However, humans have exacerbated this greenhouse effect by spewing more carbon dioxide in the atmosphere(more than it is taken up by processes like photosynthesis) hence increasing the greenhouse effect responsible for increasing global temperatures.
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Answer:
B
Explanation:
if you want to change an object's momentum you need to apply force to the object
Answer:
1.5
Explanation:
From the question ,
velocity v= 2.0m/s
Time t = 0.75secs
Distance =?
Velocity = distance/ time
2.0 = d/0.75
Crossmultipy
d = 2.0 x 0.75
= 1.5m