The velocity of the object is zero (the object is at rest)
Explanation:
A position vs time graph represents the motion of an object; in particular:
- The position of the object x(t) is represented on the y-axis
- The time t is represented on the x-axis
For a position-time graph, the slope of the graph is given by

where
is the change in position
is the change in time
However, we see that this is equivalent to the definition of velocity:

Therefore, the slope of a position-time graph is equivalent to the velocity of the object.
And so, a horizontal segment on a position vs time graph means that the object has zero velocity (because the slope is zero).
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Answer:
Explanation:
Given that
Distance from the center ,r= 0.1 m
The angular speed ,ω = 15.5 rad/s
We know that centripetal acceleration is given as
a=ω² r
a=Acceleration
r=Radius
ω=angular speed
a=ω² r
Now by putting the values in the above equation we get


Therefore the acceleration of the clay will be
.
Answer:
17.10 m
Explanation:
When the toboggan stops, we have:

The x-component of weight is the product of the weight and the sine of the angle above the horizontal, so the y-component of W is the product of the weight and the cosine of the angle above the horizontal.

The work-energy principle states that the change in the kinetic energy of an object is equal to the net work done on the object.

Recall that
, replacing (1):

K.E. = mv² / 2
Here, m = 40 Kg
v = 3 m/s
Substitute their values,
K.E. = 40 * (3)² / 2
K.E. = 40 * 9 / 2
K.E. = 360/2
K.E. = 180 J
In short, Your Answer would be Option A
Hope this helps!