Answer:
The correct answer is option 'b': The rate of change of f changes from decreasing to increasing.
Explanation:
In differential calculus the behavior of any smooth function can be understood on the basis of slope of function alone. As slope of the function is the representation of rate of change of function.
Mathematically
Given as any function we have
1) if then the function is increasing
2) 1) if then the function is decreasing
3) 1) if then the function reaches a critical point.
Thus the nature of the function at any point is specified by the nature of the differential at the point provided the function is defined at that point at which we need to check the behavior.
Answer:
Yes
Explanation:
Non uniform acceleration is any acceleration that is not constant.
If you look at the graphs I have drawn in the above picture, the first two graphs shows a uniform acceleration.
The first graph is a positive acceleration, which means that the object is moving faster and faster at a constant rate. The second graph shows a deceleration, or negative acceleration, which means that the object is moving slower and slower at a constant rate.
For velocity- time graphs, acceleration can be seen by its gradient. So if the slope of the graph doesn't change, it has a uniform acceleration.
Graph 3 shows zero acceleration since the object is moving at a constant velocity (or speed). Thus, the object does not acceleration.
Graphs 4-7 shows a non uniform acceleration.
In graph 4, the object has a decreasing acceleration since the gradient of the graph is decreasing. This can be seen by the slope getting gentler and gentler.
Graph 5 shows an increasing deceleration, since the graph is getting steeper and steeper and the velocity is decreasing with time.
Graph 6: increasing acceleration
Graph 7: decreasing deceleration
To solve this question you need to find the time span of the ski jumper before he lands
thus
25 = 1/2*10*t^2
50/10 = t^2
t = 2.23 seconds
and the distance is given 135m
speed = distance/time
= 135/2.23
= 60.5 m/s