Answer:
<em>The average acceleration of the object is 0.5 cm/s^2</em>. Answer: A)
Explanation:
<u>Average Acceleration</u>
The average acceleration of a moving object is the rate at which the speed changed over time in a specific period. It can be calculated as follows:

Where vf is the final speed, vo is the initial speed and t is the time.
The speed-time shows the speed starts at 0 cm/s and ends at 4 cm/s over the 8 seconds period. The average acceleration is:

The average acceleration is 0.5 cm/s^2
A) Correct. The average acceleration is 0.5 cm/s^2
B) Incorrect. The average acceleration is 0.5 cm/s^2
C) Incorrect. The average acceleration is 0.5 cm/s^2
D) Incorrect. The average acceleration is 0.5 cm/s^2
Volume of the original block (V) of length (l), width (w) and height (h) is given by the following equation

hence volume of original block, V = (6)(4)(10) = 
Now say we cut this block in two equal parts, than the length of new block will be
; where as its width and height will be same as of original block i.e. 4 cm and 10 cm respectively.
So, Volume of half-block is
; or we can say that the volume of half-block is half that of orignal block.
The answer to question one is A.
The answer to question two is A.
The answer to question three is D.
Answer:
4.16m/s²
Explanation:
According to Newtons second law;

Fm is the moving force
is the coefficient of kinetic friction between the child and the slide
m is the mass
g is the acceleration due to gravity
a is the acceleration of the child
Substitute the given values and get the acceleration as shown;
35(9.8)sin27.5 - 0.415(35)(cos27.5) = 35a
158.38-12.88 = 35a
145.49 = 35a
a = 145.49/35
a = 4.16m/s²
Hence the acceleration of the body is 4.16m/s²