Since the object is dropped from some height so its initial speed must be zero
acceleration of the object is due to gravity
so we can use kinematics to find the time it will take to drop by x = 22 m



Now the speed after 2.12 s will be given as



so above is the speed and time
Answer:
the child is 1.581 m far from the fence
Explanation:
The diagrammatic illustration that give a better view of what the question denote can be seen in the image attached below.
From the image attached below, let assume that the release point is the origin, then equation of the motion (x) is as follows:

---- (1)
the equation of the motion y is :






By using the quadratic formula, we have;

where;
a = 4.9, b = -5.14 c = 1







In as much as the ball is traveling upward, then we consider t= 0.258sec.
From equation (1)




Thus, the child is 1.581 m far from the fence
Answer: 10.34
Explanation:
Given
graph for a particle is given
angle turned by the particle in radians is given by the area under
graph
The area is given by

Revolutions(N) made by the object is given by

100/2.5 because power=energy/time
Answer:
b. 9.5°C
Explanation:
= Mass of ice = 50 g
= Initial temperature of water and Aluminum = 30°C
= Latent heat of fusion = 
= Mass of water = 200 g
= Specific heat of water = 4186 J/kg⋅°C
= Mass of Aluminum = 80 g
= Specific heat of Aluminum = 900 J/kg⋅°C
The equation of the system's heat exchange is given by

The final equilibrium temperature is 9.50022°C