Answer:
A velocity time graph shows the change of velocity of an object with respect ot time. If the slope of the graph is increasing in the postive region, it means that the velocity is changing, if the slope is decreasing, it means the the velocity is decreasing, but the object is moving in the same direction (positve direction).
If this slope intersects the graph at x-axis, it means that the body has 0 velocity and has become still. After that, if the line enters in the negative region, it means that its velocity is started to increases again, but the body is movinging in the opposite direction (negative direction)
Given:
initial angular speed,
= 21.5 rad/s
final angular speed,
= 28.0 rad/s
time, t = 3.50 s
Solution:
Angular acceleration can be defined as the time rate of change of angular velocity and is given by:

Now, putting the given values in the above formula:


Therefore, angular acceleration is:

This question involves the concepts of the law of conservation of energy and kinetic energy.
The girl's fastest speed is "3.7 m/s".
According to the law of conservation of energy, the girl will have the fastest speed at mean position, which will be calculated as follows:
Loss in Potential Energy = Gain in Kinetic Energy

where,
v = maximum speed = ?
g = acceleration due to gravity = 9.81 m/s²
Δh = change in height = 1.3 m - 0.6 m = 0.7 m
Therefore,

<u>v = 3.7 m/s</u>
<u></u>
Learn more about the Law of Conservation of Energy here:
brainly.com/question/381281?referrer=searchResults
Answer:
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Explanation:
Answer:
0.0241875 m
Explanation:
= Mass of quarterback = 80 kg
= Mass of football = 0.43 kg
= Velocity of quarterback
= Velocity of football = 15 m/s
Time taken = 0.3 seconds
In this system as the linear momentum is conserved

Assuming this velocity is constant

The distance the quarterback will move in the horizontal direction is 0.0241875 m