Final answer:
A free body diagram for an object at terminal velocity would include the force of gravity (weight) acting downwards and the force of air resistance acting upwards, both equal in magnitude and opposite in direction.
Step-by-step explanation:
A free body diagram is a diagram that represents the forces acting on an object. In the case of an object at terminal velocity, there are two main forces acting on the object: the force of gravity and the force of air resistance. The force of gravity, represented by the weight of the object, acts downwards. The force of air resistance, represented by a vector opposite to the direction of motion, acts upwards.
The free body diagram for an object at terminal velocity would therefore include two arrows:
- A downward arrow representing the force of gravity (weight) acting on the object.
- An upward arrow representing the force of air resistance acting on the object.
These two forces are equal in magnitude and opposite in direction, causing the net force on the object to be zero. This is why the object reaches a constant velocity, known as terminal velocity, where the force of air resistance balances out the force of gravity.