Answer:
- Corey's max speed is

- the distance Corey's covers in z seconds is



Explanation:
<h3>Corey's max speed</h3>
For constant speed, we know:

The distance between the 80 meters and the 45 meters is:

and the time it took to reach the 80 meter will be:

So, Corey's max speed is

<h3>
How far runs Corey</h3>
As the velocity of Corey's is
, the distance Corey's covers in z seconds is


<h3>What is Corey's distance from the starting line</h3>
At time 7 + z seconds the distance will be the 45 meters he covers in the first part of the race plus the distance he traveled at constant speed. this is:


At time x ( x greater or equal to 7 seconds) the distance will be the 45 meters he covers in the first part of the race plus the distance he traveled at constant speed. this is:


Answer:
Explanation:
Given
Initial speed is u=V
Maximum height of Pebble is H
Deriving maximum height of Pebble and considering motion in vertical direction

where v=final velocity
u=initial velocity
a=acceleration
s=Displacement
Final velocity will be zero at maximum height


i.e. maximum height is dependent on square of initial velocity
for twice the height

on comparing
your answer is the letter (b)