When you see a flat line on a position vs. time graph, what is the slope of this line? What does this tell you about motion of t
2 answers:
Answer:
The slope of the line is zero
The object is at rest
Explanation:
The graph position vs time of an object represents the position of the object measured at different times.
The slope of this graph is given by:
where
is the increment in the y-variable
is the increment in the x-variable
However, we have that:
corresponds to
, the change in position of the object
corresponds to the change in time,
Therefore, for a position-time graph the slope of the graph corresponds to the velocity of the object:
An object having a flat line on a position-time graph has a line with slope zero: therefore, its velocity is zero, and this means the object is at rest.
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Answer:
See the explanation below
Explanation:
To solve this problem we must decompose the initial speeds into x & y.
The acceleration of gravity is equal to g = 9.81[m/s^2] downward.
The maximum height is when the velocity of the projectile is zero in the component y, that is, it will not be able to go higher, by means of the following kinematic equation we can find that time, for that specific condition.
a)
Note: Acceleration is taken as negative as it is directed downwards.
b)
The position in the x component can be found using the following kinematic equation
The position in the y component can be found using the following kinematic equation
c)
Since the motion on the X-axis is at constant speed, there is no acceleration, so the only acceleration that exists is due to gravity
d)
In the attached image we can see, the projectile with the vectors of acceleration and velocity.
