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

Time
$0$
$1$
$2$
$3$
$4$
$5$
6
$7$
Distance
$0$
$1$
$8$
$27$
$64$
$125$
$216$
$343$

This shows that the forces acting on the object result in

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Acceleration

Retardation

Either of them

None

answer is A.

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Detailed Solution

The forces acting on the object result in acceleration.
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

\frac{Change in velocity}{Time taken}

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

Time	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$
Distance	$0$	$1$	$8$	$27$	$64$	$125$	$216$	$343$
Velocity	1	7	19	37	61	91	127	-
Acceleration	6	12	18	24	30	36	-	-

By the second law of motion, we know that acceleration is caused by a force. Since there is an acceleration given to the object, there’s force acting on it.

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