Question

A book falls from a table. If there is no air resistance, what is the position-

time graph for this book?
Position (m)
Position (m)
Time (s)
Time (s)
Position (m)
Position (m)
Time (s)
Time (s)
O
A. Graph C
O
B. Graph A
O
C. Graph B
O D. Graph D

Answer 1

Graph A

Step-by-step explanation:

Answer 2

Graph C

Step-by-step explanation:

The book is in free fall (no air resistance), this means that it is subject to a constant acceleration,

`g=9.8 m/s^2`

downward, which is the acceleration of gravity.

Therefore, taking downward as positive direction, its position at time t will be given by

`s=(1)/(2)gt^2`

where t is the time.

We see that the equation above represents a parabola: the only graph representing a parabola is graph C), therefore this is the correct option.