The following is the distance-time table of an object in motion

Matrix:

Time
0
1
2
3
4
5
6
Distance
0
3
11
30
68
100
240

The forces acting on the object are

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Constant

Increasing for majority of the motion

Decreasing for majority of the motion

None

answer is B.

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Detailed Solution

Forces acting on the object increase for the majority of the motion but decrease at a certain point
Acceleration is defined as the rate of change of velocity whereas velocity is defined as the rate of change of displacement. In an equal interval of time, there is an unequal change in distance. As a result, the specified object moves in an irregular manner. Since the object's velocity rises over time, its acceleration increases.
The formula for velocity of a body is,

velocity = \frac{change in displacement}{Time taken}

and the formula for acceleration is,

acceleration = \frac{Change in velocity}{Time taken}

From the above formulas we can deduce the acceleration and velocity of the object.
Matrix:

Time	0	1	2	3	4	5	6
Distance	0	3	11	30	68	100	240
Velocity	3	8	19	38	32	140	-
Acceleration	5	11	19	6	108	-	-

By the second law of motion, we know that force

(F)

is related to acceleration

(a)

and mass

(m)

F = m \times a

. Therefore, force increases as acceleration increases. From the above table it can be seen that acceleration increases for the majority of the motion but decreases for a certain time interval.

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