Answer:
Average velocity is 0.296 m/s.
Average speed is 4.0 m/s.
Explanation:
Given:
Distance of the circular track is, 
Number of laps ran is, 
Time taken for the run is, 
Now, total distance covered in 5.4 laps = 
Also, since the path is a circle, the final position of the athlete after 5.4 laps will be 0.4 of 400 m ahead of the starting point.
Distance covered in 0.4 laps is, 
Therefore, the displacement of the athlete will be 160 m as the athlete is 160 m ahead of the starting point and displacement depends on the initial and final points only.
Now, average velocity is given as:

Average speed is the ratio of total distance covered to total time taken.
So, average speed = 
Inertia is the correct answer!
Answer:
C. hyperbola
Explanation:
From Boyle's law:
PV = k, where k is a constant
Solving for P:
P = k / V
At first glance, this equation doesn't fit any of the options. But when you graph it, you can see that it's actually a <em>rotated</em> hyperbola.
Answer:
5010 m
Explanation:
The vertical position of the teacher at time t can be found by using the equation:

where
h is the initial height
is the initial velocity (negative since it's downward)
is the acceleration of gravity
t is the time
The teacher reaches the ground when y = 0, so the equation becomes

Substituting t = 30 s, we find the initial height:
