217k views
2 votes
Which graph shows the change in velocity of an object in free fall?

Which graph shows the change in velocity of an object in free fall?-example-1
User Ed McManus
by
6.7k points

1 Answer

4 votes

Answer: B

Step-by-step explanation:

Free fall -> constant acceleration of g = 9.81ms-1

Constant acceleration -> velocity increases at a constant rate (increases proportionally with time)

Math behind it:

* Velocity is the integration of acceleration, likewise acceleration is the differentiation of velocity. Integrating a constant value gives linearly increasing function in terms of x. (integrating with respect to x)

Hence, graph B shows the trend that velocity increases at a constant rate.

Graph A - Velocity decreases linearly

Graph C - Also decreases nonlinearly

Graph D - Not possible scenario. Velocity approaches infinity.

User Claes Mogren
by
7.6k points