question_answer 27)

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

Time (in seconds)	Distance (in metres)
0	0
1	1
2	8
3	27
4	64
5	125
6	216
7	343

(a) What conclusion can you draw about the acceleration? Is it constant, increasing, decreasing, or zero? (b) What do you infer about the forces acting on the object? 

Answer:

Here    u = 0 Using                          

Time (in seconds)	Distance (in metres)	A = 2s/t2
0	0	0
1	1	2
2	8	4
3	27	6
4	64	8
5	125	10
6	216	12
7	343	14

  Thus acceleration is increasing. (b) As F = ma, therefore, Hence, the force must also be increasing uniformly with time.