Answer:
a) 
b) 
Explanation:
Given:
- weight of the stone,

- initial velocity of vertical projection,

- air drag acting opposite to the motion of the stone,

The mass of the stone:



Now the acceleration of the stone opposite of the motion:

where:
d = deceleration


<u>In course of going up the net acceleration on the stone will be:</u>



a)
Now using the equation of motion:

where:
final velocity when the stone reaches at the top of the projectile = 0
h = height attained by the stone before starting to fall down


b)
during the course of descend from the top height of the projectile:
initial velocity, 
The acceleration will be:



here the gravity still acts downwards but the drag acceleration acts in the direction opposite to the motion of the stone, now the stone is falling down hence the drag acts upwards.
Using equation of motion:
(+ve acceleration because it acts in the direction of motion)


A device that does work with one movement and changes the size or direction of a force is a simple machine.
A hypothesis can be described as an intelligent guess
Answer:
1.195 m
2.8375 s
2.21433 rad/s
Explanation:
d = Distance = 2.39 m
N = Number of cycles = 8
t = Time to complete 8 cycles = 22.7 s
Radius would be equal to the distance divided by 2

The radius is 1.195 m
Time period would be given by

Time period of the motion is 2.8375 s
Angular speed is given by

The angular speed of the motion is 2.21433 rad/s
Answer:
547 m
Explanation:
From law of motion
s = ut + ½at²
Where "t" is Time taken to reach Earth
s= distance= 182 m
a= vertical acceleration = 5.82 m / s 2
U= initial velocity in vertical position = 0
182= ½ × 5.82t²
t²=( 2× 182)/ 5.82
= 364/5.82
= 62.54
t= √62.54
t= 7.908s
horizontal distance travelled = speed x time
Horizontal speed= 72.6 m / s
horizontal distance travelled =72.6× 7.908
= 547 m
Hence, the survivor will it hit the waves at 547 m away